Convert from Log to Exponential and Exponential to Log

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

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)

Rewrite each logarithmic equation as an exponential equation and vise versa

Mathematical Equivalence

ON

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)  

Convert from logarithm to exponential.

Mathematical Equivalence

ON

Rewrite each logarithmic equation as an exponential equation and vise versa

Mathematical Equivalence

ON

Match each logarithmic expression to its equivalent exponential form.

• 5^x = 10

• log₅ 10 = x

• e^x ≈ 10

• ln x ≈ 10

• 10⁵ = x

• log x = 5

• x¹⁰ = 5

• log_x 5 = 10

• e¹⁰ ≈ x

• ln 10 ≈ x

Logarithms are the inverse of ___________.

• Trees

• Quadratics

• Square

• Exponential