What is the inverse of #y=log(4x)# ?

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What is the inverse of #y=log(4x)# ?

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Answer 1 · 2015-11-13T18:39:56

#x=e^y/4#

Explanation:

We must find a relation of the form #x=f(y)#. To do so, observe that, since exponential and logarithms are inverse one of the other, we have that #e^{log(x)}=x#. So, taking the exponential at both sizes, we have

#e^y = e^{log(4x)}#, which means

#e^y = 4x#, and finally

#x=e^y/4#

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What is the inverse of #y=log(4x)# ?

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