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Question

Solve for x :
5logx+5log5=3(a>0) ; where base of log is a

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Solution

5logx+5log5=3
alog5logx+a(log5)2=3
alog5(alogx+alog5)=3
5loga(xloga+5loga)=3
5(x+5)=3x=5+35=225




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