# How do you find the inverse of #f(x)= -log_5 (x-3)#?

To find the inverse of ( f(x) = -\log_5(x - 3) ), follow these steps:

- Replace ( f(x) ) with ( y ): ( y = -\log_5(x - 3) ).
- Swap ( x ) and ( y ): ( x = -\log_5(y - 3) ).
- Solve for ( y ).
- Rewrite the equation in exponential form.
- The resulting expression is the inverse function.

So, the inverse of ( f(x) ) is ( f^{-1}(x) ).

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Remember Inverse of

This requires you to have some knowledge on converting log to exponent form.

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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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