Change Logarithms to Exponential Equations

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

log₂32=3x

• 5/3

• 3/5

• 5

• 3

• 4

Solve for x

• x = 5

• x = -5

• x = 5, -5

• No solution, only extraneous solutions

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Change to Exponential Form.

log₇y = x

• 7^y = x

• y = 7^x

• 7^x = y

• x⁷ = y

Change to Logarithmic Form:
5³ = 125

• log ₅ 125 = 3

• log ₃ 125 = 5

• log ₅ 3 =125

• log₁₂₅ 3 = 5

Logarithms are the inverse of ___________.

• Trees

• Quadratics

• Square

• Exponential

• 4.3820

• 2.4457

• 5.0321

• 1.9031