Evaluating Logs and Rewriting

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

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

Expand the following logarithm: 
log₂ 5x.

• log₂ 5 - log₂ x 

• log₂ 5 + log₂ x 

• 2log 5 + 2log x

• log5 2 + log_x 2

Write as a single log: log 12 + 2 log x

• log (12 + 2x)

• log (14x)

• log (12 * 2x)

• log (12x²)

log(3x)²

• 2log(3+x)

• 2log3+logx

• log3+2logx

• 2(log3+logx)

ln(4xy)

• ln4+lnx+lny

• 4lnxy

• 4lnx+lny

• 4ln(x+y)

• ln2+2lnx+lny+4lnz

• ln2+2lnx+lny-4lnz

• 2ln(2xy)-4lnz

• 2ln2x+lny-4lnz

log(x⁷)

• log(7x)

• log7+logx

• xlog7

• 7logx