Mathematics College

Topic: Solving Exponential and Logarithmic Equations
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Solve 3* = 42. Round to the nearest hundredth.

Answers

Answer 1

Answer:

[tex]x = 3.40[/tex]

Step-by-step explanation:

Given

[tex]3^x = 42[/tex]

Required

Find x

[tex]3^x = 42[/tex]

Take Log of both sides

[tex]Log\ 3^x = Log\ 42[/tex]

Apply log rule

[tex]xLog\ 3 = Log\ 42[/tex]

Make x the subject

[tex]x = \frac{Log\ 42}{Log\ 3}[/tex]

[tex]x = \frac{1.6232}{0.4771}[/tex]

[tex]x = 3.4022[/tex]

[tex]x = 3.40[/tex] --- approximated

Related Questions

Which expression is equivalent to 16t2 – 40t + 25?

Answers

The answer to you’re question is (4t - 5)^2 ORRR “G”

Find the sum of the following geometric series.

8 + 1.6 + 0.32 + 0.064 +...

Answers

Answer is : 1.2 geometric series

how many rational numbers lie between-2/3 and 7/3​

Answers

Answer:

infinite

Step-by-step explanation:

name two, and then find a third in between them.

you can repeat that as often as you want.

Answer:

{x:x=-2/3-7/3}

Step-by-step explanation:

B/c ther are many rational number between them.

so that let me make some example

x>4/5 x€Q then the solution set is {x€Q:x>4/5} just like that

Mark's model train can go 1/3 laps around its track in 2 minutes. If it runs at the same
speed, how many laps can the train go in 9 minutes?

Answers

Answer:

(3 laps / minute) (9 minutes) = 27 laps

Step-by-step explanation:

6 empty cans weigh 3.5 oz. How many cans equal 200 pounds?

Answers

Answer:

6/3.5 oz

200 lbs= 3200 oz

6/3.5 = x/3200

x= 5485. 714

Step-by-step explanation:

What is Pythagoras's equation?

Answers

Answer:

[tex]a^{2} +b ^{2} =c^{2}[/tex]

Step-by-step explanation:

a & b = the sides

c = hypotenuse

pythagorean theorem is used to find the missing length of a triangle not always tho, like if you have a 30°60°90° triangle or a 45°45°90° triangle

Answer:

a^2 + b^2 = c^2    

a = side of right triangle

b = side of right triangle

c = hypotenuse

Step-by-step explanation:

hope this is helpful! God bless you!!

Find the value of the variable

Answers

Answer:

x=6

Step-by-step explanation:

I would look at this triangle and notice that x can be solved by setting up a ratio.

I generally put the short side of the triangle on the top and the long side on the bottom

4/x = x/9

You then cross multiply to get 36=x^2, or +-6=x

A length of a triangle cannot be negative, so we are left with the answer x=6

simplify the solution (2¼)½​

Answers

i think the answer is 1 1/8
1 1/8 or 1.125 or in other words 9/8 it can be they are all the answer just different ways

Is the answer similar or not similar. Please answer correctly :) I will also mark brainliest !

Answers

Answer:

The answer to your question should be not similar trangles

find the ratio of 81 to 108​

Answers

Answer: 3:4

Step-by-step explanation:

Answer:

hope it becomes helpful to you ☺️☺️

good luck

Simplify (5y-6)-(4-7y)

Answers

The answer is 12 − 10

I NEED HELP PLEASEEEEE?!!!!!!!!! ASAPPPP HELP ME))):

Answers

It’s D he’s correct ^

Assistance if you please?

Answers

measurement ED is 38°

858.743 Round to the nearest ten

Answers

Answer:

860

Hope that helps!

Step-by-step explanation:

What is the domain and range of y = | x - 4 |

Answers

Step-by-step explanation:

the answer is y-x=4............

PLS PLS PLS I will give brainlest PLS PLS ANSWER THIS PLS I'M DESPERATE PLS PLSSS IT'S DUE TODAYYYYYY PLS HEEEELLLP

Answers

Answer:

11. 6/10

12.60 percent

5. the size of the photograph would decrease

6) the size of the photograph would increase

7) h

3)46

Step-by-step explanation:

15 people gathered to watch a baseball game. While talking,
they realized that 6 of them were Boston Red Sox fans.
What is the probability that the favorite team of a randomly
selected baseball fan is the Boston Red Sox?
Enter numeric answer only. Round to the nearest tenth.

Answers

Answer:

6/15 or 2/5

Step-by-step explanation:

The perimeter of square WXYZ is 124. Find the length of WX



Please I need asap

Answers

Answer:

31

Step-by-step explanation:

124 / 4 = 31

2/3=4/12

true or false​

Answers

Answer:

False

Step-by-step explanation:

ILL GIVE BRAINLIEST IF ITS RIGHT

Answers

Answer:

That would be 3x=50-10y

Step-by-step explanation:

If 10y and 3x add up to 50 then the expression above is checking to see if 3x is the correct answer to 50. Therefore 3x= 50- 10y. Thank you for submitting this question.

15 cm
28 cm
25.7 cm
20 cm
37 cm
Find the volume of each figure. Round to the nearest hundredth when necessary.

Answers

The volume of the prism with a trapezoid base is 13364 cm³

How to calculate volume?

Volume is the amount of space occupied by a three dimensional shape or object.

The area of the trapezoid = (1/2) * (15 + 37) cm * 25.7 cm = 668.2 cm²

The volume of the prism = area of trapezoid base * height = 668.2 cm² * 20 cm = 13364 cm³

The volume of the prism with a trapezoid base is 13364 cm³

Find out more on volume at: https://brainly.com/question/1972490

rename 0.12
pls help me i give u a the brainlest​

Answers

Step-by-step explanation:

step 1. 0.12 = 12/100 (by definition)

step 2. 12/100 = 6/50 =3/25.

if a=0.3 and b=0.9, then a^2b^2=?

Answers

Step-by-step explanation:

step 1. a^2b^2 = (0.3)^2(0.9)^2

step 2. = (0.3)(0.3)(0.9)(0.9)

step 3. = 0.0729

The value of the expression a²b² is 0.0729.

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The value of a and b are,

a = 0.3 and b = 0.9

Now, The expression is;

⇒ a²b²

Substitute values of a and b we get;

⇒ a²b² = (0.3)² × (0.9)²

           = 0.09 × 0.81

           = 0.0729

Thus, The value of the expression a²b² is 0.0729.

Learn more about the substitution method visit:

https://brainly.com/question/25965338

#SPJ5

A square has a side length of 5x + 3. Which expression represents theperimeter of the square

Answers

Answer:

20x + 12

Step-by-step explanation:

The required expression that represents the perimeter of the square is 20x+ 12.

What is the perimeter?

Perimeter is the measure of the figure on its circumference.

Here,
A square has a side length of 5x + 3.
The perimeter of the square is given as,
perimeter = 4 × side
Perimeter = 4 [5x + 3]
Perimeter = 20x + 12

Thus, the required expression that represents the perimeter of the square is 20x+ 12.

Learn more about perimeter here:

brainly.com/question/6465134

#SPJ6

What is the next number in the sequence -3 -15 -75 -375

Answers

Step-by-step explanation:

-3-15=-18

-18-74=-92

-92-375=-449

Can I Get Help PlZZ This Is So Hard

Answers

Answer:

[-5,1]》-8

[-4,-1]》-7

[-3,1]》-4

[-2,1]》-3

Step-by-step explanation:

hope it helps..

have a great day

Fractions that have the same value. For example, 2/4=1/2

Answers

Answer:

20/4 0       &    10/20  

explanation:

give me crown please

Use the Distributive Property to rewrite the algebraic expression.
7(x + 2) (I will give brainliest)

Answers

Answer:

7x+14

Step-by-step explanation:

7 times x = 7x

7 times 2 = 14

put it together 7x+14

Answer:

7x+14

you multiply 7 by x and 2

Find the value of x to the nearest tenth.

Answers

Answer:

20

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

I hope that is useful for you :)

How many joules of gravitational potential energy are stored in a system where a feather with a mass of 0.008 kilograms is positioned 22 meters above the ground? Can somebody help

Answers

Answer:

G.P.E = 1.725 Joules

Step-by-step explanation:

Given the following data;

Mass = 0.008 kg

Height, h = 22m

To find the gravitational potential energy;

Gravitational potential energy (GPE) is an energy possessed by an object or body due to its position above the earth.

Mathematically, gravitational potential energy is given by the formula;

[tex] G.P.E = mgh[/tex]

Where;

G.P.E represents potential energy measured in Joules.

m represents the mass of an object.

g represents acceleration due to gravity measured in meters per seconds square.

h represents the height measured in meters.

We know that acceleration due to gravity is equal to 9.8m/s²

Substituting into the formula, we have;

GPE = 0.008 * 9.8 * 22

GPE = 1.725 Joules

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