Rewrite Exponential and Logarithmic Expressions Based on Their Inverse Relationship

Ethan is trying to solve a math problem in his homework. He needs to rewrite the equation into logarithmic form:

6² = 36

• log₆ 2 = 36

• log₆ 36 = 2

• ln 36 = 2

• 6³⁶ = 2

In a math class, Arjun explained that the relationship between the amount of time it takes for a population of bacteria to double and the growth rate is similar to how which two mathematical functions are related?

• Opposites

• Inverses

• Cousins

• 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)

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Which equation is the inverse of the equation above?

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Aria is studying exponential and logarithmic relationships in her math class. She comes across the equation: katex latex="e^2=x" She needs to convert this equation to logarithmic form. What is the base of the logarithm in this conversion?