Exponential Growth and Logarithms

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t

f(x) = √x f(x) = log x

• f(x) = √x

• f(x) = log x

To evaluate a logarithm statement log₉81, you think "9 to what power is 81".

• True, and it's 2

• False

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

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 the red graph?

• Exponential Growth

• Exponential Decay

• Logarithm

• Cannot be determined

Which function is exponential?

• f(x)

• h(x)

• g(x)

What is the next step to solve for x

• Divide both sides by e

• Do nothing

• Take the natural log of both sides