Solve for: -Variable.mail-

Expression: $\log_{6}(2^{2x}\times 9^{x})$

Apply log rule $\log _a\left(xy\right)=\log _a\left(x\right)+\log _a\left(y\right)$

$=\log_{6}(2^{2x})+\log_{6}(9^{x})$

Factor out common term $2x:{\quad}2x(\log_{6}(2)+\log_{6}(3))$

$=2x(\log_{6}(2)+\log_{6}(3))$