6.3-6.5 Quiz Review (logs)

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Solve: 9^8-x = 27^x-3

• x = 5
• x = -5
• x = 1/5
• x = -1/5

Solve: 2^x = 4^x+1

• x = -2
• x = 2
• x = -3
• x = 3

log₃81 = 

• 2
• 3
• 4
• 5

log₅25 = ?

• 2
• 5
• 125

log₄1 = 

• 0
• 1
• 4
• DNE

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

• A
• B
• C
• D

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

• A
• B
• C
• D