Exam 6: Logarithmic Links: Logarithmic and Exponential Functions

Contract the following expression using rules of logarithms. Express your answer as a single logarithm.

Which of the following is the exact solution of the equation?

Radium-226 has a half-life of 1600 years. If a fossil has 44% of it's original Radium-226 left, how old is it? Round your answer to the nearest tenth of a year.

Find k by converting a to . Round your answer to 2 decimal places.

Expand the following expression using rules of logarithms:

Solve the equation for x. Round your answer to 2 decimal places.

A continuous growth rate of 49% of corresponds to what growth rate? Write your answer as a percent rounded to 2 decimal places.

Contract the following expression using rules of logarithms. Express your answer as a single logarithm.

Expand the following expression using rules of logarithms:

Solve for x.

Solve the equation for x. Round your answer to 2 decimal places.

Find a value for a to make the inequality true:

Contract the following expression using rules of logarithms. Write your answer as a single logarithm.

Expand the following expression using rules of logarithms:

Upon her retirement, Mary begins to receive money from a retirement account. The function, , gives the money remaining, M, in the account t years after her retirement. How many years until Mary has received half of the money from the account? Round your answer to the nearest year.

The number of people, N, visiting a particular web site increases 10% each week. If the web site had 90,000 visitors this week, how many weeks until the number of people reaches 340,000? Round your answer to the nearest week.

Find the doubling time for the function Assume t is measured in years. Round the answer to 2 decimal places.

Which of the following is the exact solution of the equation?

The acidity of a substance is measured using pH values. The function gives the pH value of a substance where [H⁺] is the concentration of hydrogen ions (measured in moles per liter). Use the function to find the hydrogen ion concentration of a substance that has a pH of 12. Write your answer as a power of 10.

Contract the following expression using rules of logarithms. Write your answer as a single logarithm.