How do you find the inverse of #f(x) =10^x# and is it a function?

1 Answer
Jul 17, 2018

Inverse of #f(x)#, #f^(-1)(x)=logx#, which is a logarithmic function.

Explanation:

Consider #y=f(x)# and then find #x=g(y)#, then #g(x)# is the inverse function of #f(x)#, which is written as #g(x)=f^(-1)(x)#.

Here #y=f(x)=10^x#, then #x=logy#

and hence inverse of #f(x)#, #f^(-1)(x)=logx#, which is a logarithmic function.