Log Properties

• 3

• 2

• 8

• 6

• 2y

• Can't be simplified because the base of the exponent doesn't match the base of the log

• y

• 2y

• x

• 2

Use the change of base rule to rewrite this problem:

log₅75

• log(75)/log(5)

• log(5)/log(75)

Solve the log using change of base
log₉27

• 3/2
• 2/3
• 3
• 0.5

Expand log₆(5x³/y).

• log₆5x³-log₆y

• log₆5+log₆x³-log₆y

• log₆5+3log₆x-log₆y