Logarithms Unit Review

Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

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

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Solve for x
log₈(x) = 2

• x = 256
• x = 64
• x = 16
• x = 32

log₄1 = 

• 0
• 1
• 4
• DNE

Solve for x:
log_x 25 = 2

• 5
• -5
• 1/5
• -1/5

Use the change of base formula and your calculator to approximate the log.

• A
• B
• C
• D

Expand

• 6log₈v-2log₈u
• 6log₈u-2log₈v
• 3log₈u-2log₈v
• 6log₈u+2log₈v