anonymous
  • anonymous
Find the inverse f(x)= log(x)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
x=log(y)
anonymous
  • anonymous
@recon14193 could you help me with a similar problem?
mathstudent55
  • mathstudent55
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 \(f^{-1}(x) \) \(f^{-1}(x) = b^x \)

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anonymous
  • anonymous
how did you solve for y?
anonymous
  • anonymous
@mathstudent55 how did you sole for y?
mathstudent55
  • mathstudent55
I used the definition of log. \(\log_b x = y\) means \(b^y = x\)
mathstudent55
  • mathstudent55
The log function and the exponential function are inverse functions.
anonymous
  • anonymous
got it thanks

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