Question

Find the inverse
f(x)= log(x)

Answer 1

x=log(y)

Answer 2

@recon14193 could you help me with a similar problem?

Answer 3

To find the inverse function

\(f(x) = \log x\)

Replace f(x) with y

\(y = \log x\)

Switch x and y

\(x = \log_b y\)

Solve for y

\(y = b^x\)

Replace y with \(f^{-1}(x) \)

\(f^{-1}(x) = b^x \)

Answer 4

how did you solve for y?

Answer 5

@mathstudent55 how did you sole for y?

Answer 6

I used the definition of log.

\(\log_b x = y\) means \(b^y = x\)

Answer 7

The log function and the exponential function are inverse functions.

Answer 8

got it thanks