Inverses of Exponential Functions and Logarithms

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

How are exponentials and logarithms related?

• They're cousins

• They're inverses

• They're not related

• They're reciprocals

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What is the inverse of f(x)=5^x+3?

• f^-1(x)=log₃(x-5)

• f^-1(x)=log₅(x)-3

• f^-1(x)=log₅(x-3)

• f^-1(x)=log₅(x+3)

Classify the following graph.

• Exponential Growth

• Exponential Decay

• Logarithmic

• Rational

Where is the asymptote?

• x = 1

• y = 1

• x = -1

• y = -1

What is the x-intercept of log₇(x)?

• (2, 0)

• (-1, 0)

• (0, 1)

• (1, 0)

When creating a graph for f(x)=log₇(x), what should be typed into the graphing calculator?

• y₁ = log(7)x

• y₁= log(7x)

• y₁= log(x) / log(7)

• y₁= log(7) / log(x)

Logarithms and Exponentials are what?

• parallel

• perpendiular 

• inverses

• congurent