Exam 5: Logarithmic Functions

What annual interest rate, compounded weekly, is equivalent to an annual interest rate of 5.4% compounded continuously? Round your answer to the nearest thousandth of a percent, if necessary.

Sound A is 31 dB. Sound B is 62 dB. How many times more intense is Sound B than Sound A?

Use linear regression on the values x and to fit a function of the form . Use a calculator program to find the regression line for this data. Convert to an exponential function and give the value of k. Round to 4 decimal places.

Suppose the population of an endangered species is cut in half every 55 years. Assume exponential decay. A) What is the annual growth rate? B) What is the continuous growth rate? Give your answers correct to 4 decimal places.

Find .

The following table gives z as a linear function of x. If and , find a formula for y in terms of x.

The table below gives the number of ants living in a museum display. Use linear regression on the values t and to fit a function of the form . Use a calculator program to find the regression line for this data. Use the regression line to calculate the number of ants after 22 months. Give your answer to the nearest whole number.

Evaluate without a calculator.

Solve for t: . Round your answer to 3 decimal places.

Let . A) Graph f. B) What are the asymptotes? C) What are the intercepts?

A town with an initial population of 11,000 people doubles every 40 years. Write an equation to determine the town's population P after t years.

Rewriting the statement log y = x using exponents gives

The vertical asymptote of the graph of is at x = _____. Round to 2 decimal places if necessary.

Find .

If 14% of a radioactive substance decays in 7 hours, what is the half-life of the substance? Round your answer to 3 decimal places.

Does ?

The following table gives z as a linear function of x. If , find a formula for y in terms of x.

Use linear regression on the values t and to fit a function of the form . Use a calculator program to find the slope of the regression line for this data. Round to 4 decimal places.

The following table gives z as a linear function of x. If , which of the following is a formula for y in terms of x?

Find the domain of the function .