Purchase Solution

Exponents and logarithms

Not what you're looking for?

Ask Custom Question

A. Convert to logarithmic equations. For example, the logarithmic form of "23 = 8" is "log2 8 = 3".

a) 16 3/2 = 64

b) ex = 5

B. Write the logarithmic equation in exponential form. For example, the exponential form of "log5 25 = 2" is "52 = 25".

a) log 3 27 = 3

b) log e 1 = 0

c) log 125 25 = 2/3

C. Use the properties of logarithmic functions to expand the following logarithmic expressions

a) log10 4x2y

b) log a [(7x + 4)1/2 / 3]

D. Express the following as a single logarithm.

a) ½ log 10 x + 2 log 10 ( x - 2)

b) 4 log 10 (x - 3) - log 10 x

E. Solve the following for x:

a) 4(2x) = 56

b) ex = 66

c) ex - 5 = 41

d) log10 5x + log10 (x + 1) = 2

e) 2 log5 9x = 6

F. When interest is compounded continuously, the balance in an account after t years is given by
A = Pert,
Where P is the initial investment and r is the interest rate.
Use the formula given to solve the following:

a) Maya has deposited $600 in an account that pays 5.64% interest, compounded continuously. How long will it take for her money to double?
Suppose that $2000 is invested at a rate of 6% per year compounded continuously. What is the balance after 1 yr? After 2 yrs?

For part E(a), the question actually involves x being an exponent. You need to worked with it as 2x to the power of x.

Purchase this Solution

Solution Summary

This shows how to solve logarithmic equations and convert between logarithmic and exponential forms.

Purchase this Solution

Free BrainMass Quizzes
Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Probability Quiz

Some questions on probability