3^(x+1)*2^x-3^x*2^(x+1)=36

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3^(x+1)*2^x-3^x*2^(x+1)=363^(x+1)*2^x-3^x*2^(x+1)=363^(x+1)*2^x-3^x*2^(x+1)=363^(x+1)*2^x-3^x*2^(x+1

3^(x+1)*2^x-3^x*2^(x+1)=36
3^(x+1)*2^x-3^x*2^(x+1)=36

3^(x+1)*2^x-3^x*2^(x+1)=36
3^(x+1)*2^x-3^x*2^(x+1)=36
整理成
3*3^x*2^x-2*2^x*3^x=36
即3^x*2^x=36
有6^x=36
两侧取对数得
xln6=ln36
得x=2ln6/ln6=2

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