Laws of Logarithms

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

Write 2³= 8 in logarithmic form.

• log₂ 8 = 3
• log₂ 3 = 8
• log₃ 8 = 2
• log₃ 2 = 8

The common logarithm has what base?

• 10
• 0
• e
• -e

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Rewrite log_b(xⁿ)

• nlog_bx
• (log_bx)ⁿ
• xⁿlog_bx
• log_b(xⁿ)

Evaluate log_b(b)⁴

• 1

• 0

• 4

• b

Simplify log₄4^3x

• 3x
• 3
• 4
• 4^3x

Evaluate log₇ 343

• 3
• 49
• 7
• 1

• A
• B
• C
• D