Logarithmic

Write 2³= 8 in logarithmic form.

• log₂ 8 = 3

• log₂ 3 = 8

• log₃ 8 = 2

• log₃ 2 = 8

Write 10⁴= 10000 in logarithmic form.

• log₁₀ 4 = 10000

• log₁₀₀₀₀ 4 = 10

• log₁₀ 10000 = 4

• log₄ 10000 = 10

Evaluate: log₆₄4 = x

• x = 3

• x = -3

• x = ⅓

• x = -⅓

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

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

Evaluate log₇ 343

• 3

• 49

• 7

• 1

Evaluate log₈ 8

• 8

• -1

• 0

• 1

Evaluate log_b(b)

• -1

• 0

• 1

• b