Logs and Exponentials Review

Expand the following logarithm: 
log₃ 10z 

• log₃ 10 - log₃ z

• log₃ 10 + log₃ z 

• zlog₃ 10

• log₃ z¹⁰

10⁰ = 1

• log 1 = 0

• log 0 = 1

• log ₀ 10 = 1

• log ₀ 1 = 10

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Solve for x

• 0.75

• 3

• 0.667

• 1.5

7^x = 13

• log ₇ x = 13

• log ₁₃ x = 7

• log ₇ 13 = x

• log _x 7 = 13

e³ = 20.1

• ln 20.1 = e

• ln 3 = 20.1

• ln e = 20.1

• ln 20.1 = 3

log₄(3x - 1) = log₄(2x + 3)

• 4

• 3

• 1

• 8

log₆(2x + 16) = 3

• x = 2

• x = 100

• x = 116

• x = 50

Solve for x:

4^x+2 = 64

• x = -16/9

• x = 1

• x = 8

• x = 7/6