What is the inverse of a logarithmic function?

1 Answer
Dec 10, 2015

The inverse of a logarithmic function is exponential function.

Explanation:

The inverse of a logarithmic function is exponential function:
×xf1(x)=g1(ax)
Because logarithmic fuction is
×xf(x)=logag(x)
g(x)=af(x)
g1(g(x))=g1(af(x))
x=g1(af(x))
f1(x)=g1(ax)

Considering f(x)=x is axis of symmetry, for g(x)=x and a=10,
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