Solving Exponential Equations and Log Properties

Condensing Logs: Use properties of logarithms to condense the given problem to a single log with no coefficient.

• A

• B

• C

• D

Use properties of logarithms to condense the given problem to a single log with no coefficient.

Expanding Logs: Use properties of logarithms to expand the given problem completely and choose the correct answer.

Expanding Logs: Use properties of logarithms to expand the given problem completely and choose the correct answer.

Solving Log Equations: Use Properties of logarithms to solve the given equation for the variable and choose the correct solution.

• A

• B

• C

• D

Solving Log Equations: Use Properties of logarithms to solve the given equation for the variable and choose the correct solution.

• 5

• 13

• 84

• -20

log (x - 1) - log (x - 2) = log 5

• 7

• 4/9

• 9/4

• 1/7

Write log_b(x/y) as two logs

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by

Use multiple log properties to write as a sum or difference of two logs: log(4x³) 

• log 4 + 3log x

• 3log 4 + 3log x

• 3log 4 + log x

• log 12 + log x

Use multiple log properties to write as a single log:
log₂x -  5log₂y

• log₂(x/y⁵)

• log₂(xy⁵)

• log₂(x/y)⁵

• log₂(x/5y)