Exponential vs Logarithmic

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Rewrite log_vn = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

Write in logarithmic form.
2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4

• log_-4(¹/₁₆) = 2

• log _-4 2 = ¹/₁₆

• log₂(-4) = ¹/₁₆

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Logarithms are the inverse of ___________.

• Trees

• Quadratics

• Square

• Exponential

What type of function is the blue graph?

• Exponential Growth

• Exponential Decay

• Logarithm

• Cannot be determined

What type of function is pictured?

• Exponential Growth

• Exponential Decay

• Linear

• Logarithm

What type of function is the red graph?

• Exponential Growth

• Exponential Decay

• Logarithm

• Cannot be determined