Log and Exponential

Change to exponential form.

log_x 2 = 5

• x² = 5

• 5² = x

• x⁵ = 2

• 2⁵ = x

Write 3 = 7^x in log form.

• log₇ 3 = x

• log₃ 7 = x

• log₇ x = 3

• log₃ x = 7

Rewrite 3⁴ = 81 in logarithmic form.

• log₃ 4 = 81

• log₈₁ 3 = 4

• log₃ 81 = 4

• log₄ 81 = 3

Write the exponential equation as a logarithm
6³ = 216

• log₆(3) = 216

• log₃(6) = 216

• log₆(216)=3

• log₂₁₆(6)=3

Change to Logarithmic Form:
12² = 144

• log ₂ 144 = 12

• log ₁₂ 144 = 2

• log ₁₂ 2 = 144

• log ₂ 12 = 144

Rewrite log₂ 8 = 3 in exponential form.

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Rewrite in logarithmic form

9^3/2 = 27

• log₉ 27 = 3/2

• log₉ 27 = 2/3

• log_3/2 9 = 27

• log₂₇ 9 = 3/2

Rewrite in exponential form

log₇ (1/49) = -2

• -2⁷ = 1/49

• 7² = 1/49

• 7^-2 = 1/49

• 7^1/49 = -2

Rewrite in logarithmic form. 7⁰=1

• log₀ 7 = 1

• log₇ 0 = 1

• log₇ 1 = 0

• log₁ 7 = 0