If $f(log_g(x))=x$ then what function is $f$? I am looking for the inverse function to $log_g(x)$.
If $f(log_g(x))=x$ then what function is $f$?
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algebra-precalculus
logarithms
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2how is $\log_g$ defined? you can get an answer from that – 2017-02-28
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0$log_g(x)=k$ so $g^k=x$; $log_g(x)=log_g(x)$ substituting $log_g(x)$ for $k$ gives $g^{log_g(x)}=x$ so $f(x)=g^x$; is this what you mean? – 2017-02-28
1 Answers
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$f$ is an exponential function :
$$f(x)=g^x$$