Convert Log to Exponential and Vice Versa

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Tags

CCSS.HSF.BF.B.5

log₂8 = 3

• 3² = 8

• 2³ = 8

• 2⁸ = 3

• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Convert 16 = 2^x to a Log

• Log₂(x) = 16

• Log₂(16) = x

• Log₁₆(x) = 2

• Log_x(16) = 2

Tags

CCSS.HSF.BF.B.5

Write the exponential equation as a logarithm
6³=216

• log₆(3) = 216

• log₃(6) = 216

• log₆(216)=3

• log₂₁₆(6)=3

Tags

CCSS.HSF.BF.B.5

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)  

Tags

CCSS.HSF.BF.B.5

Match each logarithmic expression to its equivalent exponential form.

• x¹⁰ = 5

• log_x 5 = 10

• 10⁵ = x

• log x = 5

• e^x ≈ 10

• log₅ 10 = x

• 5^x = 10

• ln 10 ≈ x

• e¹⁰ ≈ x

• ln x ≈ 10

Tags

CCSS.HSF.BF.B.5

Rewrite each logarithmic equation as an exponential equation and vise versa

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.B.5

Rewrite each logarithmic equation as an exponential equation and vise versa

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.B.5

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Tags

CCSS.HSF-BF.B.4A

Convert from logarithm to exponential.

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.B.5