Converting Logarithmic and Exponential Forms

Rewrite the equation into logarithmic form:

6² = 36

• log₆ 2 = 36

• log₆ 36 = 2

• ln 36 = 2

• 6³⁶ = 2

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Write log₂ 0.25 = -2 in exponential form

• -2²  = 0.25

• -2^0.25  = 2

• 2^-2  = 0.25

• No correct answer

Rewrite 3⁴ = 81 in logarithmic form.

• log₃ 4 = 81

• log₈₁ 3 = 4

• log₃ 81 = 4

• log₄ 81 = 3

Change to Exponential Form:

log₆ 36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Rewrite log_v n = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

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