Solving Exponential and Logarithmic Equations Answers

What is the value of x in the equation below?

Which equation is equivalent to

What are the potential solutions of

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 if

What is the value of x if

The atmospheric pressure at sea level is 14.7 lb/in2. This pressure is reduced by half for each 3.6 miles above sea level. Which graph correctly identifies the amount of atmospheric pressure based on height, in miles, above sea level?

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?

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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.