Exponential and Logarithmic Functions

Rewrite log_pt = m in exponential form.

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

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

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

What is the equation that represents the exponential function in the image below?

• y=3(½)^x
• y=3(2)^x
• y=(2)^x
• y=2(3)^x

Solve for n:
2³ⁿ = 4

• 2
• 3
• 2/3
• 4

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

• 5
• -5
• 1/5
• -1/5

Solve the following for 'x';
log₆(3x - 2) = log₆(5x - 8)

• x = 3
• x = 2
• x = -1
• No Solution

• A

• B

• C

• D

What is the domain and range of
f(x) = log ₃ (x + 1)?

• D: (− ∞, ∞) R: (−1, ∞)
• D: (− ∞, ∞) R: (1, ∞)
• D: (−1, ∞) R: (− ∞, ∞)
• D: (1, ∞) R: (− ∞, ∞)

A grey squirrel population was introduced in a certain county of Great Britain 30 years ago. Biologist observe that the population doubles every 6 years, and now the population is 100,000. How long will it take for the squirrel population to reach 1,000,000? Estimate to the nearest year.

• 25 years
• 15 years
• 20 years
• 30 years