Log Basics

Rewrite log₅ (1/5)= -1 exponentially

• 5^1/5 = -1

• 5^-1 = 1/5

• 1/5⁵ = 1

Rewrite 4² = 16 into logarithmic form.

• log₂4 = 16

• log₄ 16 = 2

• log₄ 2 = 16

log₂(¹/₈) = -3

• 2^-3 = ¹/₈

• 2^1/8 = -3

• -3² = ¹/₈

• -3^1/8 = 2

Evaluate:
log₄16

• 2

• 4

• 1/2

• -2

What is the value of ln(e⁷)

• 2.718...

• 1

• 7

• Does not exist

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Expand the expression: log₂10x

• log₂10 + log₂x

• log10 + logx + log2

• log₂10x

• xlog₂10

Expand the expression: log₂5xy

• log₂5 + log₂xy

• log₂5 + log₂x + log₂y

• log10xy

• xylog₂5

Condense the expression: log₄6 + log₄3

• log₄2

• log72

• log₄63

• log₄18

Condense the expression: log₄6 + log₄3 + log₄v

• log₄2

• log72

• log₄18v

• log₄18