Pre Calc Solving Exponentials with Logarithms

Is this exponential growth or decay?

• Growth
• Decay

Write in logarithmic form.
5² = 25

• log₅2 = 25
• log₂25 = 5
• log₂₅5 = 2
• log₅25 = 2

Write in exponential form.
log₂32 = 5

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

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Find the value for x to the third decimal place: 10^x =20

• 2
• 1.301
• 0.5
• No Correct Answer

log₄1 = 

• 0
• 1
• 4
• DNE

Rewrite log_pt = m in exponential form.

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

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