Exponential and Logarithmic Inverses

Evelyn, Michael, and Benjamin are on a treasure hunt. They found a cryptic note that says 'To find the treasure, solve this: What is the inverse of f(x)=5^x+3?'. Can you help them solve it?

• f^-1(x)=log₃(x-5)

• f^-1(x)=log₅(x)-3

• f^-1(x)=log₅(x-3)

• f^-1(x)=log₅(x+3)

Emma, Priya, and Benjamin are on a treasure hunt. They found a mysterious note with the function f(x)=5^(x+2) written on it. They believe it's a clue and need to find the inverse of this function to proceed. Can you help them?

• f^-1(x)=log₅(x-2)

• f^-1(x)=log₅(x)-2

• f^-1(x)=log₅(x)+2

• f^-1(x)=log₅(x+2)

Hannah, Jackson, and Aiden are on a treasure hunt. They come across a magical door that only opens when they solve a riddle. The riddle is: 'What is the inverse of an exponential function?'

• A spell that transforms everything into a polynomial function

• A spell that transforms everything into a logarithmic function

• A spell that transforms everything into a linear function

• A spell that transforms everything into a quadratic function

Elijah, Aria, and Michael are playing a game of 'Math Wizards'. Elijah casts a spell that is represented by the exponential function f(x) = 2^x. If Aria wants to counter the spell, she needs to use the inverse of Elijah's spell. What would be the inverse function that Aria should use?

• f^(-1)(x) = x²

• f^(-1)(x) = log₂(x)

• f^(-1)(x) = 2/x

• f^(-1)(x) = ln(x)

The exponential function f(x)=2^x and the logarithmic function g(x)=log₂(x) are inverses. You know that because their graphs are reflected over what line?

• the x-axis

• the y-axis

• y=x

• y=-x

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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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)

Which equation is the inverse of the equation above?

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Find the inverse of the equation

• 2^(x-9)+5=y

• 2^(x+9)-5=y

• 5^(x-9)-5=y