Converting Between Exp Log

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

• log (xy³)
• log (x⁶ − y³)
• log (x⁶/y³)
• log (x⁶ + y³)

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Rewrite each logarithmic equation as an exponential equation and vise versa

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Convert from log to exponential

Given log₂₀ 0.05 = x, Complete the steps to evaluate by using exponential form. Step 1 (Rewrite in exponential form): ​ (a)   = 0.05 Step 2 (rewrite the decimal as a fraction): 0.05 = ​ (b)   Step 3 (reduce the fraction): ​ (c)   Step 4 (rewrite as an exponent): ​ (d)   Answer: ​ (e)  

Match the following

Convert from logarithm to exponential.

Mathematical Equivalence

ON

Match each logarithmic expression to its equivalent exponential form.

• 5^x = 10

• ln 10 ≈ x

• x¹⁰ = 5

• log x = 5

• e^x ≈ 10

• log_x 5 = 10

• e¹⁰ ≈ x

• log₅ 10 = x

• 10⁵ = x

• ln x ≈ 10