Exponential and Logarithmic Functions Intro

Without a calculator, evaluate log₁₂₅ 25

• ²/₃

• ³/₂

• ¹/₆

• ¹/₅

Write the exponential equation as a logarithm
6³=216

• log₆(3) = 216

• log₃(6) = 216

• log₆(216)=3

• log₂₁₆(6)=3

Solve 3³ = 3^{4x + 2}

• x = ¼

• x = -¼

• x = ½

• x = -½

Write 2³= 8 in logarithmic form.

• log₂ 8 = 3

• log₂ 3 = 8

• log₃ 8 = 2

• log₃ 2 = 8

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

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