Question

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Chapter 11 part 1:

How can a logarithmic functions be rewritten as its inverse (exponential function)?

Answer 1

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Answer:

`\text{for }f(x)=\log_b(x),\text{ the inverse is }f^(-1)(x)=b^x`

Explanation:

As with any function and its inverse, you can find the inverse of ...

`f(x)=\log_b(x)`

by solving the equation x = f(y).

`x=\log_b(y)\\\\b^x=y\qquad\text{use as a power of b}\\\\\boxed{f^(-1)(x)=b^x}`