Exponential Form to Logarithmic Form

Rewrite in logarithmic form:

5³ = 125

• log ₅ 125 = 3

• log ₃ 125 = 5

• log ₅ 3 =125

• log₁₂₅ 3 = 5

Rewrite in logarithmic form:

6² = 36

• log₆ 2 = 36

• log₆ 36 = 2

• ln 36 = 2

• 6³⁶ = 2

Rewrite in logarithmic form:

3⁴ = 81

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

5³ = 125

• log ₅ 125 = 3

• log ₃ 5 = 125

• log ₁₂₅ 3 = 5

• log ₅ 3 = 125

Logarithmic form is the inverse of exponential form.

• True

• False

Logarithmic functions are the inverse of...

• linear Functions

• exponential Functions

• quadratic Functions 

• polynomial Functions 

2⁵ = 32

• log ₅ 32 = 2

• log ₂ 32 = 5

• log ₃₂ 5 = 2

• log ₂ 5 = 32

7^x = 13

• log ₇ x = 13

• log ₁₃ x = 7

• log ₇ 13 = x

• log _x 7 = 13

b^k = m

• log _b m = k

• log _m k = b

• log _b k = m

• log _k m = b