Solving Equations using Properties of Logarithms — Unit test Answers

An initial investment of $200 is now valued at $350. The annual interest rate is 8% compounded continuously. The equation represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use a calculator and round your answer to the nearest whole number.

What is rewritten using the power property?

The number of bacteria in a sample after x days is represented using the equation . By what approximate percent does the population change per day?

The two expressions below have the same value when rounded to the nearest hundredth.What is the approximate value of to the nearest hundredth?

The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation , where I is the intensity of a given sound and I0 is the threshold of hearing intensity. What is the intensity, in decibels, [I(dB)], when ?

Which expression is equivalent to ?

What is the true solution to the logarithmic equation?

What is the range of the function f(x) = –2(6x) + 3?

What is the solution of Round your answer to the nearest hundredth.

A scientist writes the equation to model the growth of a certain bacteria in a petri dish, where N represents the number of bacteria after h hours. After approximately how many hours will 450 bacteria be present? Round your answer to the nearest whole number.

What is the range of ?