Logarithmic Review

What value never changes in the logarithmic functions?

• Vertical asymptote

• Horizontal asymptote

• Domain

• Range

y = log_bx is equivalent to the exponential form _____, x>0, b>0, b≠1.

• b^x=y

• b^y=x

• y^x=b

• x^y=b

The function f(x) = log_bx is the ___________ function with base _________.

• exponential, b

• exponential, x

• logarithmic, b

• logarithmic, x

Write 2³= 8 in logarithmic form.

• log₂ 8 = 3

• log₂ 3 = 8

• log₃ 8 = 2

• log₃ 2 = 8

Write log₃ 81 = 4 in exponential form.

• 81⁴=3

• 81³=4

• 4³=81

• 3⁴=81

Write 10⁴= 10000 in logarithmic form.

• log₁₀ 4 = 10000

• log₁₀₀₀₀ 4 = 10

• log₁₀ 10000 = 4

• log₄ 10000 = 10

Write log₆ 216 = 3 in exponential form.

• 3⁶=216

• 6³=216

• 216⁶=3

• 3²¹⁶=6

Evaluate log₇ 343

• 3

• 49

• 7

• 1

Evaluate log₈ 8

• 8

• -1

• 0

• 1