Exam 5: Exponential and Logarithmic Functions

In 2001 the population of Mountainville was 9,800. Their population increases by 0.24% per year. What is the expected population of Mountainville in 2007? Round your answer to the nearest whole number.

Write the expression as a sum or difference of logarithms.

Approximate the number . Round your answer to two decimal places.

Solve the exponential equation exactly for x.

Match the graph to the exponential function.

Solve the logarithmic equation exactly. log(2x - 18) = 1

Write the expression as a single logarithm.

Solve the logarithmic equation. Round your answer to three decimal places.

Evaluate exactly (without using a calculator). For rational exponents, consider converting to radical form first.

Victor just graduated from law school owing $75,000 in student loans. The annual interest rate is 8.5%. Approximately how many years will it take to pay off her student loan if she makes a monthly payment of $690? Round to the nearest year.

If Vu deposits $13,500 in a savings account that earns 1.5% interest per year compounded quarterly, how much money can she expect to be in the account in 3 years? Round your answer to two decimal places.

Write the expression as a sum or difference of logarithms.

Write the expression as a sum or difference of logarithms.

A substance has an approximate hydrogen ion concentration of about 3.89 × . Calculate its pH value.

A substance has an approximate hydrogen ion concentration of about . Calculate its pH value.

Use the properties of logarithms to simplify the expression.

Solve the exponential equation. Round your answer to two decimal places.

Match the graph with the function. F (x) =

Solve the exponential equation exactly for x.

If a seismologist records the energy of P waves as 4.7 × joules and the energy of S waves as what is the total energy? What would the combined effect be on the Richter scale?