Exponential and Log Functions Inverse

When creating a graph for f(x)=log₇(x), what should be typed into the graphing calculator?

• y₁ = log(7)x

• y₁= log(7x)

• y₁= log(x) / log(7)

• y₁= log(7) / log(x)

Which function has a horizontal asymptote?

• exponential

• logarithm

• both

• neither

Write 2³= 8 in logarithmic form.

• log₂ 8 = 3

• log₂ 3 = 8

• log₃ 8 = 2

• log₃ 2 = 8

log₂(¹/₈) = -3

• 2^-3 = ¹/₈

• 2^1/8 = -3

• -3² = ¹/₈

• -3^1/8 = 2

To evaluate a logarithm statement log₉81, you think "9 to what power is 81".

• True, and it's 2

• False

Evaluate the log by thinking " 3 to what power is 1/9" so

log₃(1/9) =

• 1/2

• 2

• -2

• 3

Evaluate by thinking 4 to what power is 16, so

log₄16

• 2

• 4

• 1/2

• -2

True or False: log₈64=2

• True

• False

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Write log₃ 81 = 4 in exponential form.

• 81⁴=3

• 81³=4

• 4³=81

• 3⁴=81