Converting Exponential to Log

Rewrite the equation into logarithmic form:

6² = 36

• log₆ 2 = 36

• log₆ 36 = 2

• ln 36 = 2

• 6³⁶ = 2

rewrite into logarithmic form 10⁰ = 1

• log 1 = 0

• log 0 = 1

• log ₀ 10 = 1

• log ₀ 1 = 10

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 log₂ 0.25 = -2 in exponential form

• -2²  = 0.25

• -2^0.25  = 2

• 2^-2  = 0.25

• No correct answer

Match each exponential expression to its equivalent logarithmic form.

• e¹⁰ ≈ x

• log₃ 10 = x

• x¹⁰ = 3

• ln x ≈ 10

• 3^x = 10

• log x = 3

• e^x ≈ 10

• log_x 3 = 10

• 10³ = x

• ln 10 ≈ x

A logarithmic function is the inverse of an exponential function. (a)  

• True

• False

Mathematical Equivalence

ON

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