Log to Expo Conversion

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Tags

CCSS.HSF-BF.B.4A

Rewrite log_b(xⁿ)

• nlog_bx

• (log_bx)ⁿ

• xⁿlog_bx

• log_b(xⁿ)

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

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

• ln 10 ≈ x

• 5^x = 10

• log x = 5

• 10⁵ = x

• log_x 5 = 10

• e^x ≈ 10

• log₅ 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

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.B.5

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.B.5

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.B.5

Rewrite in exponential form.

• A

• B

• C

• D

Tags

CCSS.HSF.BF.B.5