Exam 5: Logarithmic Functions

Suppose earthquake A measured 3.2 on the Richter scale. What was the Richter scale measure of earthquake B if it was 1900 times more powerful than earthquake A? Round your answer to 2 decimal places.

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. Use the regression line to find the y-value when x=53 . Give your answer correct to 2 decimal places.

Let , with t measured in years. What is the percent annual growth rate? Round to 2 decimal places.

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. Use the regression line to find the value of y when . Round to 2 decimal places.

Evaluate without a calculator. Leave fractions in the form "A/B" (do not convert to decimals).

Find the domain of the function .

Find the domain of the function .

If 11% of a radioactive substance decays in 7 hours, what percent of the substance is left after 10 hours? Round your answer to 3 decimal places, if necessary.

A small country is experiencing hyperinflation of 59% per month. A) By what percent have prices climbed after 5 months? B) If an item currently costs $12, how much will it cost after 1 year of such inflation?

Consider the function A) Graph the function. B) State the domain. C) State all asymptotes.

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

What is the domain of the function ?

Solve t for t to 2 decimal places if possible. If not possible, enter "not possible".

The following figure shows the graphs of (A). (B). (C). (D). . Which one is the graph of C?

What annual interest rate, compounded monthly, is equivalent to an annual interest rate of 5.9% compounded continuously? Round your answer to the nearest thousandth of a percent, if necessary.

By what order of magnitude do the numbers 0.0001 and 1,000,000 differ?

How many times more powerful is an earthquake measuring 5.3 on the Richter scale than an earthquake measuring 4.2 on the Richter scale? Round your answer to two decimal places.

The hydrogen ion concentration [H⁺] for a certain substance is 0.000316. What is the pH of the substance?

You invest $5000 in an account earning 5% annual interest. At the same time, you invest $ in a different account earning % annual interest. In both accounts, the interest is compounded continuously. When do the accounts each hold the same amount? Round your answer to the nearest year.

If is converted to the form , then b = _____. Round to 3 decimal places.