Exponents and Logarithms Review

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

• f(x)=400(1+3)^x

• f(x)=400(1-0.03)^x

• f(x)=400(1+0.03)^x

• f(x)=400(0.03)^x

15^3x = 285

• x = 0.6958

• x = 95

• x = 6.3333

• x = .0464

ln(2) = x

• 2^x = 10

• 10² = x

• e^x = 2

• e² = x

Solve for x:
e^2x = 11

• x = (LN 11)/2

• x = 2log_e11

• x = 2eLOG 11

• x = LN (11/2)

log (x - 1)  - log (x - 2)  = log 5

• 7

• 4/9

• 9/4

• 1/7

Which equation best describes the graph? 

• y = 2^x + 4

• y = 2^x - 3

• y = 2^x - 4

• y = 2^x + 3 

Rewrite log_vn = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

Solve 11⁵ⁿ = 72 and round to the nearest tenth.

• 0.4

• 0.5

• 1.5

• -2

log₇(3x) = 3

• 729

• 114.333

• 0.143

• 23.34

Evaluate.
log₆(¹/36)

• 2

• ¹/2

• -¹/2

• -2