Answer
$x= \frac{log (2/3)}{log 4}-5$
$x=-5.2925$
Work Step by Step
$4^{x+5} =2/3$
$log (4^{x+5}) =log (2/3)$
$(x+5) log 4 = log (2/3)$
$(x+5) log 4/log 4 = log (2/3)/log 4$
$x+5 = log (2/3) /log 4$
$x+5-5 = log (2/3) /log 4 -5$
$x= log (2/3) /log 4 -5$
$x= log (2/3) /log 4 -5$
$x= -.17609 /.60206 -5$
$x=-.29248 -5$
$x=-5.2925$
