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if-x-log27-9-logx-36-find-x-

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Question Number 211706 by Nadirhashim last updated on 17/Sep/24
if x^(log27) + 9^(logx) =36 find x
ifxlog27+9logx=36findx
Answered by mehdee7396 last updated on 17/Sep/24
x^(3log3) +x^(2log3) =36 x^(log3) =y⇒y^3 +y^2 −36=0 (y−3)(y^2 +4y+12)=0 if x∈R⇒y=3=x^(log3) ⇒x=10 ✓
x3log3+x2log3=36xlog3=y⇒y3+y2−36=0(y−3)(y2+4y+12)=0ifx∈R⇒y=3=xlog3⇒x=10✓

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