Question #c83cc

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Answer 1 · 2017-04-11T14:31:00

$color(blue)(x=84)$

I'm assuming you mean $-6log_3(x-3)=-24$

Divide both sides by $-6$ .

$[1]" "-6log_3(x-3)=-24$

$[2]" "(color(red)(cancel(-6))log_3(x-3))/color(red)(cancel(-6))=(color(red)(cancel(-24))4)/color(red)(cancel(-6))$

$[3]" "log_3(x-3)=4$

We will now change this to its equivalent exponential form. Take note that $y=b^x<=>log_by=x$

$[4]" "<=>3^4=x-3$

$[5]" "81=x-3$

$[6]" "81+3=x$

$[7]" "color(blue)(x=84)$