Convert Log to Exponential and Vice Versa

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

log₂8 = 3

• 3² = 8

• 2³ = 8

• 2⁸ = 3

• 8³ = 2

Convert 16 = 2^x to a Log

• Log₂(x) = 16

• Log₂(16) = x

• Log₁₆(x) = 2

• Log_x(16) = 2

Write the exponential equation as a logarithm
6³=216

• log₆(3) = 216

• log₃(6) = 216

• log₆(216)=3

• log₂₁₆(6)=3

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 each logarithmic expression to its equivalent exponential form.

• e^x ≈ 10

• log_x 5 = 10

• e¹⁰ ≈ x

• log₅ 10 = x

• 10⁵ = x

• log x = 5

• x¹⁰ = 5

• ln 10 ≈ x

• 5^x = 10

• ln x ≈ 10

Rewrite each logarithmic equation as an exponential equation and vise versa

Mathematical Equivalence

ON

Rewrite each logarithmic equation as an exponential equation and vise versa

Mathematical Equivalence

ON

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Convert from logarithm to exponential.

Mathematical Equivalence

ON