exponential and Logarithmic Functions

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

ln(e^W)

• e
• W
• e^W
• undefined

Evaluate log₄1

• 1
• 0
• 4
• undefined

Evaluate log₅  20 to the third decimal place

• 0.537
• 2.996
• 1.301
• 1.861

log(A+B) = logA + logB

• True
• False

(logA) / (logB) = logA - logB

• True
• False

Expand

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

Solve

• A
• B
• C
• D

Courtney saved up $2,200 working as a waitress over the summer. She put this money into a bank account that earned 5.2% interest and is compounded daily. How much will she have in her account at the end of 4 years?

• $2201.25
• $2694.55
• $2707.45
• $2708.63