Solving Exponential and Logarithmic Equations Answers

What is the value of x if

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.

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.

What is the solution to the equation below?

Which equation is equivalent to

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The graph shows the growth rate of a certain bacteria in a lab, where the number of bacteria depends on the number of hours since the start of the experiment. Based on the graph, what is the approximate number of bacteria after 16 hours?

What is the value of x in the equation below?

What is the solution to the equation below?

What are the potential solutions to the equation below?