Logs and Exponential Form

Rewrite the equation in logarithmic form.

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Write in exponential form:
log ₃ 6561 = 8

• 3⁸ = 6561

• 8³ = 6561

• 3⁶⁵⁶¹ = 8

• 8⁶⁵⁶¹ = 3

Write in exponential form:

log ₂ 32 = 5

• 2⁵ = 32

• 5² = 32

• 5³² = 2

• 2³² = 5

log ₉ 59049 = 5

• 9⁵ = 59049

• 5⁹ = 59049

• 59049⁵ = 9

• 59049⁹ = 5

Write in exponential form:
log ₂ 32 = 5

• 2⁵ = 32

• 5² = 32

• 5³² = 2

• 2³² = 5

Change to Logarithmic Form:
12² = 144

• log ₂ 144 = 12

• log ₁₂ 144 = 2

• log ₁₂ 2 = 144

• log ₂ 12 = 144

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Rewrite log_vn = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

Write in logarithmic form:
4⁵ = 1024

• log ₄ 1024 = 5

• log ₅ 1024 = 4

• log ₄ 5 = 1024

• log ₅ 4 = 1024

Write in logarithmic form:
7² = 49

• log ₇ 49 = 2

• log ₂ 49 = 7

• log ₇ 2 = 49

• log ₂ 7 = 49