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Which of the following is the inverse of y=3*?3O y = log XOy -(o ;= logix

Which of the following is the inverse of y=3*?3O y = log XOy -(o ;= logix-example-1
User Phisn
by
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1 Answer

7 votes

SOLUTION

We want to find the inverse of


y=3^x

First we will make x the subject. To do this, let us take log of both sides, we have


\begin{gathered} log(y)=log(3^x) \\ log(3^x)=log(y)\text{ } \\ xlog3=log(y) \\ x=(log(y))/(log3) \end{gathered}

Now replace y with x, and x with y-inverse, we have


\begin{gathered} x=(log(y))/(log3) \\ y^(-1)=(log(x))/(log3) \\ y^(-1)=log_3x \end{gathered}

Hence the 2nd option is the correct answer

User Achyut Pokhrel
by
9.2k points
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