Exponential Form to Log Form

Rewrite the equation into logarithmic form:

6² = 36

• log₆ 2 = 36

• log₆ 36 = 2

• ln 36 = 2

• 6³⁶ = 2

Rewrite 3⁴ = 81 in logarithmic form.

• log₃ 4 = 81

• log₈₁ 3 = 4

• log₃ 81 = 4

• log₄ 81 = 3

rewrite into logarithmic form 10⁴ = 10,000

• log 4 = 10,000

• log₄ 10,000 = 10

• log_10,000 4 = 10

• log 10,000 = 4

rewrite into logarithmic form 10⁰ = 1

• log 1 = 0

• log 0 = 1

• log ₀ 10 = 1

• log ₀ 1 = 10

Write in logarithmic form:
9² = 81

• log ₉ 81 = 2

• log ₂ 81 = 9

• log ₉ 2 = 81

• log ₂ 9 = 81

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:
2^-1 = 0.5

• log ₂ 0.5 = -1

• log _-1 0.5 = 2

• log ₂ -1 = 0.5

• log _-1 2 = 0.5

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