Logarithm Form

Rewrite log_vn = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

Evaluate.

log₆ (¹/₂₁₆) = x

• 3

• ¹/₃

• -¹/₃

• -3

log ₃ 6561 = 8

• 3⁸ = 6561

• 8³ = 6561

• 3⁶⁵⁶¹ = 8

• 8⁶⁵⁶¹ = 3

Write 2³= 8 in logarithmic form.

• log₂ 8 = 3

• log₂ 3 = 8

• log₃ 8 = 2

• log₃ 2 = 8

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Convert log(x)=5 to exponential form

• ⁵=x

• ^x=5

• ⁵=10

• ⁵=x

Convert 6^(x+2)=216 to logarithmic form

• log₂₁₆(x+2)=6

• log₆(x+2)=216

• log₆(216)=x+2

• log_(x+2)(216)=6

Convert log₁₂(x)=2 to exponential form.

• 12²=x

• 12^x=2

• x²=12

• 2^x=12

• 0
• 1
• -3
• 3

• 2
• 1/2
• -2
• 4