NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!! Chapter 11 part 1: How can a logarithmic functions be rewritten as its inverse (exponential function)?

Question

asked Jan 14, 2022 84.7k views

1 Answer

RomkaLTU · Answer 1 · 2022-01-18T22:31:44+0000

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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).

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