AMI Day 1 (Properties of Logarithms)

When you have two log expressions separated by a plus sign (+), we really need to ___________ them to simplify into one log expression.

• add

• subtract

• multiply

• divide

Write log_b(xy) as two logs

• log_bx+log_by
• log_bx-log_by
• log_bx*log_by
• log_bx/log_by

When you have two log expressions separated by a minus sign (-), we really need to ___________ them to simplify into one log expression.

• add

• subtract

• multiply

• divide

Write log_b(x/y) as two logs

• log_bx-log_by
• log_bx+log_by
• log_bx*log_by
• log_bx/log_by

Write the logarithm expression as a single logarithm

log₅4 + log₅3

• log₅7

• log₅12

• log₇5

• 3log₅4

Expand the logarithm.

• A
• B
• C
• D

Write the logarithm expression as a single logarithm

log₆25 - log₆5

• log₆125

• log₅20

• log₆5

• log₆30

• A
• B
• C
• D

Simplify:  $\log_73+\log_76$  

•  $\log_79$  

•  $\log_7\left(\frac{1}{2}\right)$  

•  $\log_718$  

•  $\log_7729$  

Condense this expression to a single logarithm.

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