Solving Exponential and Logarithmic Equations Answers

What is the value of x in the equation below?

What is the solution to

What is the value of x if

What is the solution to

What are the potential solutions of

Carlene is saving her money to buy a $500 desk. She deposits $400 into an account with an annual interest rate of 6% compounded continuously. The equation represents the situation, where t is the number of years the money needs to remain in the account. About how long must Carlene wait to have enough money to buy the desk? Use a calculator and round your answer to the nearest whole number.

The population of a town grew from 20,000 to 28,000. The continuous growth rate is 15%. The equation represents the situation, where t is the number of years the population has been growing. About how many years has the population of the town been growing? Use a calculator and round your answer to the nearest whole number.

What is the solution to the equation below?

The graph shows the decibel measure for sounds depending on how many times as intense they are as the threshold of sound. Noise in a quiet room is 500 times as intense as the threshold of sound. What is the decibel measurement for the quiet room?

What common base can be used to rewrite each side of the equation