Properties of Logarithms Review

Condense the expression to a single logarithm:

Answer explanation

Use the quotient property

Answer explanation

Quotient Property

Condense to a single logarithm (hint - start inside of the grouping symbol): \frac{1}{3}\left[\ln y+2\ln\left(y+4\right)\right]-\ln\left(y-1\right)

Answer explanation

Another one to ask teach about!

Write log_b(xy) as two logs

• log_bx+log_by

• log_bx-log_by

• log_bx*log_by

• log_bx/log_by

Use the properties of logarithms to retwrite

• A

• B

• C

• D

Use the properties of logarithms to rewrite as the sum of two logarithms:

• log 40 + log 15

• log 50 + log 5

• log 11 + log 5

Use the change of base formula and your calculator to approximate the log.

• A

• B

• C

• D

Using the change of base rule, what is this logarithm equivalent to?

• 4.965

• 4.17

• 3.408

• 2.212

Write log_b(x/y) as two logs

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by

Rewrite log_b(xⁿ)

• nlog_bx

• (log_bx)ⁿ

• xⁿlog_bx

• log_b(xⁿ)