1 Answer

Sators · Answer 1 · 2023-07-18T07:49:21+0000

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

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