# How do you find the inverse of #f(x) = 5^x#?

To find the inverse of ( f(x) = 5^x ), you switch the roles of ( x ) and ( y ) and solve for ( y ). Then, ( y ) becomes the inverse function of ( f(x) ).

[ y = 5^x ]

Swap ( x ) and ( y ):

[ x = 5^y ]

Now, solve for ( y ):

[ \log_5(x) = y ]

Thus, the inverse function of ( f(x) = 5^x ) is ( f^{-1}(x) = \log_5(x) ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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