What is 2logs(5x°)+ logs(+6) written as a
single logarithm?

What Is 2logs(5x)+ Logs(+6) Written As Asingle Logarithm?

Answers

Answer 1

Given:

The expression is:

[tex]2\log_5(5x^3)+\dfrac{1}{3}\log_5(x^2+6)[/tex]

To find:

The single logarithm expression for the given expression.

Solution:

We have,

[tex]2\log_5(5x^3)+\dfrac{1}{3}\log_5(x^2+6)[/tex]

Using properties of the logarithm, we get

[tex]=\log_5(5x^3)^2+\log_5(x^2+6)^{\frac{1}{3}}[/tex]           [tex][\because \log x^n=n\log x][/tex]

[tex]=\log_5(25x^6)+\log_5\sqrt[3]{x^2+6}[/tex]

[tex]=\log_5(25x^6)\sqrt[3]{x^2+6}[/tex]          [tex][\because \log a+\log b=\log (ab)][/tex]

Therefore, the correct option is B.


Related Questions

Assignment Active Identifying the Rules of Exponents to Evaluate Which rules of exponents will be used to evaluate the expression. Check all that apply. [(7")(7")T quotient of powers product of powers power of a power power of a product negative exponent zero exponent Done Intro​

Answers

Answer:

its 44

Step-by-step explanation:

because IRS 444 j utf d funk nhc ddh

Which side lengths form a right triangle?
Choose all answers that apply:

Answers

Answer:

A

Step-by-step explanation:

9, 12, 15 is a multiple of 3, 4, 5 which is a right triangle

Answer:

A. 9, 12, 15

Step-by-step explanation:

A. [tex]9^{2} +12^{2} =15^{2}[/tex]

B. [tex]6^{2} +2^{2}\neq\sqrt{38}^{2}[/tex]

C.[tex]3^{2} +9^{2} \neq \sqrt{91} ^{2}[/tex]

In ABC, m∠A=10 and m∠B=145. Select the triangles that are similar to ABC.

Answers

Answer:

A

Step-by-step explanation:

A triangle has 180 degrees.

So, 10 + 145 + x = 180

x = 25

This means that the angles in the triangle are:

10, 145, and 25

Using this information, only A has the same values so it is the answer

A Scale model of a building is 12 inches tall. The actual building is 160 feet tall. What is the scale factor of the model write your answer as a fraction and simplest form

Answers

Answer:

133/10

Step-by-step explanation:

divide 160 and 12 then simplify your answer

The scale factor of the model is 0.075.

What is the scale factor?

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

We are given that Scale model of a building is 12 inches tall. The actual building is 160 feet tall.

First, we need to multiply 160 by 12 so that we have inches and inches

160 inches

Then divide 160 by 12 and that will give, 12 which is the scale factor

The scale factor is:

12/160=3/40

=0.075

Learn more about scale factor here:

https://brainly.com/question/11178083

#SPJ6

HELP plsss if I don’t answer this I can’t go to lunch

Answers

7/g This is the correct answer to your problem

What is the equation of the circle?

Answers

Answer:

x² + y² = 3

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius )

Using Pythagoras' identity in right triangle CRT

CR² = 1² + ([tex]\sqrt{2}[/tex] )² = 1 + 2 = 3 ( take the square root of both sides )

CR = r = [tex]\sqrt{3}[/tex] , then

x² + y² = ([tex]\sqrt{3}[/tex] )² , that is

x² + y² = 3

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The table represents some points of a linear function.


Which equation represents the same relationship?


Please put an explanation!!!

Answers

9514 1404 393

Answer:

  H  y +268 = 12(x +20)

Step-by-step explanation:

The point-slope form of the equation for a line is ...

   y -k = m(x -h) . . . . . . line with slope m through point (h, k)

The first point in the table is (x, y) = (-20, -268), so the equation with these filled in is ...

  y -(-268) = m(x -(-20))

  y +268 = m(x +20) . . . . . . matches F or H

We can see that the values of y change by a lot more than the values of x. That means the slope is a lot more than 1. This observation eliminates choice F, so we are left with ...

  H.  y +268 = 12(x +20)

Answer:

ok ummm

Step-by-step explanation:

pls helppp! tysmmmm!!

Answers

I believe it would be 29 because a supplementary angle is 2 angles that equal 180 so I would think to do 189-151=29

hey can you help me fast!!

Answers

Answer: Its the first one

Explanation:Yes because it is trust me yes

I think it is the first one

The volume of a cone is given by v=13πr2h. If a cone has volume 3π, what is the height of the cone when the radius is 12?

Answers

Answer:

16units

Step-by-step explanation:

Given data

The expression for the volume of a cone is given as

v=1/3πr^2h

v= 3π

r= 12

h=???

Substitute

3π= 1/3*π*12^2*h

3= 1/3*144*h

3= 144h/3

cross multiply

3*3= 144h

9= 144h

h= 144/9

h=16 units

Hence the heeight is 16units

The cafeteria bought 200 French bread pizzas for lunch next week. If they had bought the pizza last week while it was on sale, it would only have cost $ 2.00 per pizza. Now, 7 days later, the price is $ 3.78 per pizza. How much money could they have saved if they bought the pizza last week?

Answers

Answer:

$356

Step-by-step explanation:

To solve this problem, use this: (200 * 3.78) - (200 * 2)

(200 * 3.78) - (200 * 2)

200 * 3.78 is the same as 2 * 378, which is 756.

756 - (200 * 2)

200 * 2 is the same as 4 * 100, which is 400.

756 - 400

Subtract 400 from 756 to get 356.

356

If they brought the pizza last week, the school could have saved $356.

how do I work this out? f(x) =-32x^2+25x+3​

Answers

You can use the quadratic equation or factoring. Just look up the quadratic equation and plug in the numbers from the problem

Guys I need help on this please ​

Answers

Answer:

The correct answer should be the first option.

Step-by-step explanation:

Answer:

First option. The graphs domain is -∞<x<∞ and its range is -5 ≤ y < ∞

Step-by-step explanation:

I graphed this function

Domain: x ∈ R

Range: y ∈ [-5, + ∞

Minimum (1, -5)

Verticle intercept (0, -4)

A consumer magazine rates televisions by identifying two levels of price, four levels of repair frequency, three levels of features, and three levels of picture quality. How many different ratings are possible?​

Answers

Answer:

72 different ratings

Step-by-step explanation:

To find how many different ratings there are, multiply all the factors together.

2 * 4 * 3 * 3 = x

8 * 9 = x

x = 72

72 different ratings

hello. Someone help me solve all these. Will mark as brainliest. Thanks

Answers

Answer:

number 19 is letter B.hence express P(x) as the product of it's linear factors

Use SSS to explain why ABC = CDA are congruent !!!!!!!! Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!

Answers

Answer:

ABC=CDA because AB is congruent to CD and AC=AC and DA=AB

I hope this is what you were looking for

If the measure of angle 2 is 100 degrees. What is the measure of angle 8? Why?

Answers

Answer:

5

Step-by-step explanation:

thanks for the points

question shown in pic attached!

Answers

Answer: <B= 101, <C= 79, <D=101

Step-by-step explanation: all parallelograms have the diagonal angles equal so that is why <c=79. Parallelograms also have all angles equal to 360. so if you add <C, and <A you have 158. then you subtract that from 360 and you get 202. You then need to divide it by to to get the measures of angles B and D which are 101 each.

PLZ HELP ME GUYS PLZ​

Answers

Answer:

y=2x+3

x=(-1)

y=-5x+6

x=1

Step-by-step explanation:

Just find x in the equation

which of the following points is the solution of the quadratic equation : 3x² - 5x-2=0​

Answers

Answer:

answer in the file

Step-by-step explanation:

Please help! Solve the following system by substitution:

Answers

Answer:

C.  

Step-by-step explanation:

C= 5 and D= -2.  

Please help I need to finish this

Answers

Answer:

216 cm cubed

Step-by-step explanation:

This is volume of spheres.
Can anyone give me this step by step?
Due tonight..

Answers

Answer:

Step-by-step explanation:

4/3(pi)(r)^3

4/3(pi)(0.8m)^3   (converted the cm to m)

then you can simplify it based on wither the answer is in Number*pi or just a number.

Hope this helps!

HELP PLEASE ITS URGENT

Answers

Answer:

C

Step-by-step explanation:

Order matters and B=J. In the answer choice, B is in the middle and so is J.

Answer:

C.

Step-by-step explanation:

D=K

B=J

C=I

They're complementary angles to each other, so- nevermind just trust me.

Sophia needs to know the area and perimeter of his property. The length of his property is 1/5 mile and the width is 3/8 mile. What is the perimeter of Sophia's property?

Answers

Answer:

See the answers below

Step-by-step explanation:

Given data

Length = 1/5mile

Width= 3/8 mile

The expression for the perimeter

P=2L+2W

Substitute

P=2*1/5+ 2* 3/8

P= 2/5+6/8

P= 16+30/40

P=46/40

P= 23/40 miles

Area= Length *Width

Area= 1/5* 3/8

Area= 3/40 square miles

Someone please help with all this. Show working out as well! Will mark as brainliest.
Thanks

Answers

9514 1404 393

Answer:

  a) k = -19

  b) P(x) = (5x +1)(3x -1)(2x -1)

  c) x = {-1/5, 1/3, 1/2}

  d) see attached

  e) no; P(-1) = -48

  f) see attached

Step-by-step explanation:

a) The second attachment shows synthetic division of P(x) by the factor (x -1/3). The remainder is 0 when the final expression is zero:

  1 + (10 +k)/9 = 0

  (10 +k)/9 = -1 . . . . . subtract 1

  10 +k = -9 . . . . . . . .multiply by 9

  k = -19 . . . . . . . . . . subtract 10

For (3x -1) to be a factor, the value of k is -19.

__

b) The graph (see part C) shows the zeros of the function to be -0.2, 0.333..., and 0.5. This means the linear factors are ...

  P(x) = (5x +1)(3x -1)(2x -1)

The linear factors can also be obtained by finishing the factoring of ...

  P(x) = (3x -1)(10x^2 -3x -1)

The quadratic factor is the synthetic division result, divided by 3. It can be factored by grouping: 10x^2 -3x -1 = (10x^2 -5x) +(2x -1) = 5x(2x -1) +1(2x -1).

So P(x) = (3x -1)(5x +1)(2x -1).

__

c) The graph shows the zeros to be x ∈ {-1/5, 1/3, 1/2}.

__

d) See the attachment for a graph

__

e) The point (-1, -40) is not on the graph. Evaluating P(-1) gives -48. The point that would be on the graph for x=-1 is (-1, -48).

__

f) See the attachment.

8. What is the surface area of the pyramid
shown below?

Answers

Answer:

Surface area of square pyramid = 380 m²

Step-by-step explanation:

Given:

Side of square base =10 m

Height of Square pyramid = 14 m

Find:

Surface area of square pyramid

Computation:

Surface area of square pyramid = Surface area of Base + 4[Surface area of triangle]

Surface area of square pyramid = [side x side] + 4[(1/2)(b)(h)]

Surface area of square pyramid = [10 x 10] + 4[(1/2)(10)(14)]

Surface area of square pyramid = 100 + 4[70]

Surface area of square pyramid = 100 + 280

Surface area of square pyramid = 380 m²

What is the difference in length between

Answers

Answer: 7/8

Step-by-step explanation:

1 1/4 - 3/8 = 1.25 - 0.375 = 0.875 = 7/8

Complete the table of values for y = 0.5x + 1
can you help? ​

Answers

hope the answer can help you.

Answer:

x is -2, -1, 0, 1, 2 and y is 0, 0.5, 1, 1.5, 2

worth 14 points please help I need a expert

Write an equation to represent the angle?

What is the value of x?

Answers

Answer:

x=13

Step-by-step explanation:

we can guess that the three angles are a linear pair and equal 180

in this case we can start writing a equation

x+105+62=180

now we can subtract both whole numbers from 180 but that takes longer, so we will combine the whole numbers on the left side.

x+167=180

now we can go ahead and subtract 167 from both sides. by doing so, it isolates the x and gives you your answer

180-167=13

so... x=13

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