How do you find the inverse of #y=10^x#?

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Answer 1 · 2015-12-23T22:15:11

#logx#

By definition, #y=f^(-1)(x)iff f(y)=x#

#iff10^y=x#

#iffy=logx#

Graphically the graph is

graph{10^x [-12.82, 19.21, -5, 11.02]}

and its inverse is

graph{logx [-21.58, 29.74, -15.14, 10.54]}