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log-3-x-1-2-x-




Question Number 189174 by sciencestudentW last updated on 12/Mar/23
log_3 (x+1)=2        ;   x=?
$${log}_{\mathrm{3}} \left({x}+\mathrm{1}\right)=\mathrm{2}\:\:\:\:\:\:\:\:;\:\:\:{x}=? \\ $$
Answered by HeferH last updated on 12/Mar/23
log _b a = x  b^x  = a  x + 1 = 3^2   x = 8
$$\mathrm{log}\:_{{b}} {a}\:=\:{x} \\ $$$${b}^{{x}} \:=\:{a} \\ $$$${x}\:+\:\mathrm{1}\:=\:\mathrm{3}^{\mathrm{2}} \\ $$$${x}\:=\:\mathrm{8}\: \\ $$

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