Mathematics

# 4+log3(x-8)=8 solve for x

#### lily5

4 years ago

$4+log_3(x-8)=8\\ \\ log_3(x-8)=8-4\\ \\ log_3(x-8)=4\\ \\ x-8=3^4\\\ \\ x-8=81\\ \\ x=81+9\\ \\ \boxed{x=89}$

#### BettieZumbrunnen

4 years ago

4 + log₃(x - 8) = 8

Subtract 4 from each side of the equation:

log₃(x - 8) = 4

Raise the base '3' to the power indicated on each side:

(x - 8) = (3)⁴
(x - 8) = 81