Dagje

Logarithms and Exponential Relations Review

Question 1: Change the following from exponential form to logarithmic form:

a)

Question 2: Change the following from logarithmic form to exponential form:

a)

Question 3: Evaluate the following logarithms WITHOUT using a calculator. Show all of your work.

a)

Question 4: Solve for WITHOUT using a calculator. Show all of your work. (Hint: Use the definition of a logarithm.)

a)

Question 5: Given and , approximate the value of each expression. Show all of your work and all of your steps. Show the answer to 4 decimal places. You may use a calculator ONLY for the final step.

a)

Question 6: Solve for the variable. Show all of your work and all of your steps. (Hint: Use the properties of logarithms.)

a)

Question 7: Solve for the variable. Show all of your work and all of your steps. Show the answer to 4 decimal places. (Hint: Use the common logarithm.)

a)

Question 8: Apply the Change of Base Formula to rewrite the logarithms with the common logarithm.

a)

Question 9: Solve for . Show all of your work and all of your steps. Show the answer to 4 decimal places. (Hint: Use the natural logarithm and the definition of a logarithm.)

a)

Question 10: Mix buys a computer for $2500. It decreases at a rate of 20% per year.

a) Is this an example of exponential growth or decay?

b) What formula should you use to solve it?

c) What will be the value of the computer in 2 years? Show all of your work.

d) Write your answer in a full sentence: