xlog5 - log125 = 0 solve for x. Asking for step by step answer.

Answers

Answer 1

Step-by-step explanation:

[tex]x log(5) - log(125) = 0 \\ log( {5}^{x} ) - log(125) = 0 \\ log( \frac{5x}{125} ) = 0 \\ \frac{ {5}^{x} }{125} = 1 \\ {5}^{x} = 125 \\ [/tex]

[tex] log( {5}^{x} ) = log(125) \\ x log(5) = log(125) \\ x = \frac{ log(125) }{ log(5) } = 3[/tex]


Related Questions

Workers in an office of 60 staff were asked their favourite type of take-away.
The results are summarised in the table.

Take-away Frequency Angle
Pizza 14
a
Curry 6
b
Fish & chips 4
c
Kebab 14
d
Other 22
e
Work out the size of each angle to draw a pie chart.
a
=

b
=

c
=

d
=

e
=

Answers

Answer:

a = 84°

b = 36°

c = 24°

d = 84°

e = 132°

Step-by-step explanation:

The parameters of the workers in the office are;

The number of staffs in the office = 60 staffs

The take-aways are pizza, curry, fish & chips, kebab and other

The frequency for the above take-aways = 14, 6, 4, 14, and 22 respectively

The variables for the angles representing the above take-aways on the pie chart = 'a', 'b', 'c', 'd', and 'e'; respectively

In order to find the size of the angles that represent each group of workers in the pie chart, we find the ratio of the group size to the total number of workers and we multiply the result by 360° as follows;

∠a = 360° × 14/60 = 84°

∠b = 360° × 6/60 = 36°

∠c = 360° × 4/60 = 24°

∠d = 360° × 14/60 = 84°

∠e = 360° × 22/60 = 132°

A person invested $8,400 in an account growing at a rate allowing the money to double every 11 years. How much money would be in the account after 12 years, to the nearest dollar?

Answers

It should be about 12,600 but I’m not sure if it is or not.
Good luck :)

Answer:

y≈17893

Step-by-step explanation:

because i just know

i’ll give brainliest if you give a correct answer.

Answers

Answer:

Answer is .32

Step-by-step explanation:

actually thats wrong bc my teacher did it with us but i really dont know the answer

Answers

Answer:

???

Step-by-step explanation:

darn
do u have the question lololol

.AYUDAAA CON TODO ESTOOO PLISS​

Answers

128) Los vertices de esta figura son:

(-2,1) (4,1) (4,-2) (0,-3)

129)  Siempre se busca primero la coordenada horizontal! esa es la coordenada en "x"  . Despues es la coordenada  vertical , que es la coordenada en "y" .

 Por lo tanto , para el punto de arriba , la coordenada horizontal  es 1  y la vertical es 3, por lo tanto  la coordenada del punto es (1,3) .

Las coordenadas de los puntos son entonces.

 [tex](1,3)\\(3,0)\\(2-2)\\(-1,-2)\\(-2,1)[/tex]        

130) Las coordenadas del vertice faltante son  (1,-2)    

131) Tenemos que representar un hexágono concavo en el plano cartesiano.

  Un hexágono concavo es un poligono de 6 lados y 6 ângulos, siendo uno de estos últimos mayor a 180 grados.

Podemos dibujar de la siguiente manera: elegir 5 vertices como si fuera un hexágono irregular cualquiera alrededor del origen de coordenadas, y luego elegir a (0,0) como el ultimo vertice. Esta es una de las varias maneras de resolverlo, no la unica .

Como ejemplo, puede ser el siguiente hexágono:

132) Si tenemos los vertices K y L, una forma de  completar un  triangulo isosceles con un tercer vertice es colocar este  vertice en algun punto de la linea perpendicular a KL y que pasa por su punto medio.

Las coordenadas de M, el punto medio de KL se puede calcular como el  promedio de las coordenadas de los extremos K y L:

[tex]Xm=\frac{xK+xL}{2} =\frac{-1+(-1)}{2} =-\frac{2}{2} =-1\\Ym=\frac{Yk+yL}{2} =\frac{2+(-4)}{2} =\frac{-2}{2} =-1[/tex]

Como la linea definida por KL es una  linea vertical, sus lineas perpendiculares seran lineas horizontales. Entonces ,la recta y=-1 es perpendicular a KL y passa por el punto medio de KL.

Cualquier vertice con coordenadas (x,-1), excepto (-1,-1) , formaran un triangulo isosceles.

Como ejemplo , seleccionemos un vertice en (5,-1):

Como tenemos un eje de  simetria en y=-1 , el triangulo KLM es isosceles.

132) Si tomaremos el ejemplo anterior y nos corrieramos del eje de simetria  obterndriamos un triangulo escaleno, es decir, con 3 lados con distintas longitudes.

NOTA: Tener cuidado que por casualidad no coincidan KM o LM con KL (longitud 6).

Por ejemplo, si corremos M hasta (5,0) obtendremos un triangulo isosceles, dado que el segmento KM tendria  longitud 6, al igual que KL.

Para asegurarnos que los tres lados tengan longitudes diferentes, formamos un triangulo rectangulo con dos catetos con diferentes longitud. Un cateto es KL, de longitud 6, y el otro cateto sera KM , de longitud 3 si colocamos a M en (2,2):    

PLEASE MARK ME AS BRAINLIEST

∆ABC is reflected across the y-axis and translated 3 units up to create ∆XYZ. Select all statements that are true about ∆ABC and ∆XYZ.

Answers

Answer:

Step-by-step explanation:

Suppose A is (-3,6) when it starts out.

When A is reflected across the y axis, it takes on the opposite sign.-3 becomes + 3Nothing happens to the y value of the point from this transformationThe new point is X(3,6)

Now we take the reflected point and move it three units. up

Up means increase the y value of the new point (X)The y value = 6Increase the y value by 3This makes 6 + 3 = 9So after all that X becomes (3,9)

Answer:

∆ABC  is congruent to ∆XYZ.

Corresponding sides of  ∆ABC and  ∆XYZ  are not congruent.

Corresponding angles of  ∆ABC and  ∆XYZ  are congruent.

Step-by-step explanation:

Select the correct answer.
What is the complete factorization of x^2 + 2x - 63?

Answers

Answer:

C

Step-by-step explanation:

Visit the site tigeralgebra.com and type in the expression  

Which algebraic expression represents “the difference of 54 and a number”? HELP I AM TIMED ASAP

Answers

Answer:

The first one

Step-by-step explanation:

Please Help ASAP I’m confused

Answers

c maybe i'm not sure

A swimming pool had 30 gallons of water in it. Then water was added to the pool at a rate of 5 gallons per second. The function y= 5t + 30 describes the relationship between the number of gallons, y, and the number of seconds water was added, t. Select all of the ordered pairs that correspond to input-output pairs for the function.

A. (45,3)
B. (3,45)
C. (0,30)
D. (30,0)

Answers

................The answer is C

The (45,3) and (30,0) are the correct-ordered pairs that correspond to input-output pairs for the function.

What is function?

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.

Given the function:

y = 5t +30,

Here y is the no of gallons and t is the time.

Take the values of option A and substitute in the function,

45 = 5 × 3 +30

45 = 45

Hence, it is the correct-ordered pair,

Similarly, take option b

3 = 45 × 5 +30

3 ≠ 255

Now take option c,

0 = 30 × 5 +30

0 ≠ 180

Take the last option,

30 = 0 × 5 +30

30 = 30

Hence, it is also the ordered pair.

Therefore, the (45,3) and (30,0) are the correct-ordered pairs that correspond to input-output pairs for the function.

To know more about function:

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3. Solve the equation a - 28 = 19.​

Answers

Answer:

a = 47

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

a-28-(19)=0

Step by step solution :

STEP1:

Solving a Single Variable Equation:

1.1 Solve : a-47 = 0

Add 47 to both sides of the equation :

a = 47

One solution was found :

a = 47

Step-by-step explanation:

Hope it is helpful.....

please help me thanks

Answers

Answer:

The constant rate of change is 1.5

The point that intersects the y axis is (0,0)

Step-by-step explanation:

Constant rate of change: y2-y1/x2-x1

(1,1.5) (2,3)

3-1.5=1.5

2-1=1

1.5/1=1.5

Constant rate of change is 1.5

Hope this helps!

WILL MARK BRAINLEIST!!!!!! due today and time limit! x = 2y - 7 4x + 5y = 24 A. (1, 4) B. (3, 7) C. (7, 3) D. (4, 1)

Answers

Answer:

1. Which statements are true?

Select each correct answer.

A. 6m^2+18m=6m^2(1+3m)

B. 40m^6−4=4(10m^6−1)

C. 15m^3−6m=3m(5m^2−6m)

D. 32m^4+12m^3=4m^3(8m+3)

2. Which expressions are completely factored?

Select each correct answer.

A. 32y^10−24=8(4y^10−3)

B. 18y^3−6y=3y(6y^2−2)

C. 20y^7+10y^2=5y(4y^6+2y)

D. 16y^5+12y^3=4y^3(4y^2+3)

3. Factor.

8x^5+4x^2−12

A. 4(2x^5+4x^2−12)

B. 4x^2(2x^3+x−3)

C. 4(2x^5+x^2−3)

D. 8(x^5+4x^2−12)

Step-by-step explanation:

number 1 a and d are true

number to its b c and d

number 3 dont know sorry

althea normally saves $x each month; but in june she saved $4 more than twice her usual amount. in june she saved...

Answers

Answer:

The amount saved in June is;

$(2x + 4)

Step-by-step explanation:

Here, we want to get the amount saved in June

From the question, she saved $5 more than twice here usual amount

twice here usual amount is 2 * x = $2x

So, adding the extra $4; the amount saved will be;

2x + 4

I need the slope intercept form for this, it’s due by 12 tonight

Answers

Answer:

slope is 1

Step-by-step explanation:

because if you picked any 2 points on the line it would be the same rise over run

The slope is actually -1 since the slope is negative.

I will give BRAINLIEST!
Jonathan has 30 apples and gives five to emily. How many apples does Emily now have? TIP: use the variable X in your answer.​

Answers

Answer:

Emily has 5 apples!!!

Step-by-step explanation:

Ok,

Let the apples Emily has be 'x'

Now,

× + 25= 30

Transpose 25 to RHS

× = 30-25

× = 5

Therefore, Emily has 5 apples :D

Hope it helps!!!

what is the measure of angle KHJ? please help

Answers

Answer:

=48

Step-by-step explanation:

=180 - ( 85 + 47 )

=180 - 132

=48

Answer:

Answer:

=48

Step-by-step explanation:

=180 - ( 85 + 47 )

=180 - 132

=48

Step-by-step explanation:

4.
The length of a field in feet is a function f(n) of the length n in yards. Write a function rule for this situation.


A. f(n) = 12n

B. f(n) = n/12

C. f(n) = 3n

D. f(n) = 1/3n

Answers

Answer:

C. f(n) = 3n

Step-by-step explanation:

what is the value of x in the figure please help I’ll give you brainliest :)

Answers

Answer:

37°

Step-by-step explanation:

(4x + 2)° = 150° [Vertically Opposite Angles]

=> 4x = 150 - 2

=> 4x = 148

[tex] = > x = \frac{148}{4} [/tex]

=> x = 37° (Ans)

○=> Correct option :[tex]\color{plum}\bold{(A) \: 37}[/tex]○=> Steps to derive correct option :

Angle (4x+2)° and angle 150° are vertically opposite angles so, their measures will be equal.

Which means :

[tex] =\tt 4x + 2 = 150[/tex]

[tex] =\tt 4x = 150 - 2[/tex]

[tex] = \tt4x = 148[/tex]

[tex] =\tt x = \frac{148}{4} [/tex]

[tex]\hookrightarrow \: \color{plum}x = 37[/tex]

Let us check whether or not we have found out the correct measure of x by placing 37 in the place of x:

[tex] =\tt 4 \times 37 + 2 = 150[/tex]

[tex] = \tt148 + 2 = 150[/tex]

[tex] =\tt 150 = 150[/tex]

Since the measures of both the angles are equal we can conclude that we have found out the correct value of x.

Thus, the value of x in this figure = 37

Therefore, the correct option is (A) 37.

The triangles are similar.

What is the value of x?

Answers

Answer:

4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

the sides are proportional by 5. so the equation needed is

3x+8=20

3x=20-8

3x=12

x=12/3

x=4

6x+31=1/2 19x-36. What is the value of x

Answers

Answer:

I solved it and got 134/7

match each equation with the correct table. y=-2/3x + 1

Answers

Hi, how are you doing today? Hope your well!

find g(1) if g(x) =x^2+1​
A.4
B.2
C.3

Answers

Answer:

B.2

Step-by-step explanation:

g(1) if g(x) =x^2+1

= x^2 + 1 = (1)^2 + 1 = 1 + 1 = 2

Answer:

B

Step-by-step explanation:

To evaluate g(1) , substitute x = 1 into g(x), that is

g(1) = 1² + 1 = 1 + 1 = 2

which is greater -1 upon 2 or -1 upon 4​

Answers

Answer:

The answer is -1/4

Jonathan is putting a border around a right triangle and needs to figure out the triangle's height. If the triangle has a base length of 4 cm and a total area of 24 cm², what is the height?

Answers

Step-by-step explanation:

formula to find area of a triangle:

A=1/2 × base × height(h)

insert the values into the formula:

24=1/2 × 4 × h

solve for h :

24=2h

24/2=h

h = 12 cm ( Ans )

The height of triangle will be 12 cm.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle has a base length of 4 cm.

And, A total area of 24 cm².

Now,

We know that;

Area of right triangle = 1/2 × Base × Height

⇒ 24 = 1/2 × 4 × h

⇒ 24 = 2 × h

⇒ h = 24 / 2

⇒ h = 12 cm

Thus, The height of triangle = 12 cm.

Learn more about the triangle visit:

https://brainly.com/question/17335144

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→ Are the triangles below congruent? If so,
describe a series of rigid transformations
that maps one triangle onto the other.
55
35

Answers

Yes! The triangles are congruent.

Consider the similar triangles.
J
Use properties of similar triangles to answer the
questions
What is the measure of angle J?
M
.
Which side of AMNO corresponds to JK?
2.5 m
3 m
1.5m
90°
90°
K
O
480
What is the ratio of the larger triangle to the smaller
triangle?
4 m
2 m
N

Answers

Answer:

What is the measure of angle J?

42 degrees

Which side of AMNO corresponds to JK?

MO

What is the ratio of the larger triangle to the smaller triangle?

2/1

Answer:

answer goes as follows

Step-by-step explanation:

1: b

2: a

3: c

what was the original weight of the ball ?

Answers

Answer:

16.5

Step-by-step explanation:

A is the correct answer

Step-by-step explanation:

If you plug y=x+10 in for the Y variable you just have to solve by multiplying.

1.) It should look like this:

2x + 3(x +10) = 40

2.) You will distribute the three which will make the equation look like this:

2x + 3x + 30 = 40

3.) Add like terms. Then subtract 30 from both sides. Then divide 5 by both sides to get the variable x alone.

but 16.5 is the answer

solve for a
I need an answer quickly please and thank you

Answers

Answer:

a = 32

Step-by-step explanation:

Step 1: Understand the question

The 2 angles inside are supplamentary angles which means they add up to 180

Step 2: Set up the equation

If the 2 angles added up equal to 180 you can create an equation that states

[tex](2a+7)+109=180[/tex]

Step 3: Solve for the variable

[tex](2a+7)+109=180\\2a+7+109\\2a+116=180\\2a=64\\\frac{2a}{2}=\frac{64}{2}\\a=32[/tex]

Step 4: State your answer

Therefore the value of "a" is 32

1
Timothy is on his school's basketball team. He usually scores 6 points per
quarter. If there are 4 quarters in the game, how many points does Timothy
score in one game?​

Answers

Answer:

24 points

Step-by-step explanation:

We are told timothy usually scores 6 points per quarter of a baektball game.

Now, there are 4 quarters in a basketball game.

Thus, number of points per game = number of points per quarter × number of quarters per game = 6 × 4 = 24 points

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