Question

I need help on this logarithmic equation I need it solved step by step * It asks to solve it in terms of x. *

Answer 1

To solve the function in terms of x:

`\log _(4^x)2^a=3`

find the power of the subscripts of the log

`\begin{gathered} \log _(4^x)2^a=3 \\ \log _(2^(2x))2^a=3 \\ (a)/(2x)\log _22=3 \\ \text{where }\log _22=1 \\ (a)/(2x)=3 \end{gathered}`

cross multiply the expression

`\begin{gathered} (a)/(2x)=3 \\ a=3(2x) \\ a=6x \end{gathered}`

Therefore the correct answer of a = 6x