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Solve: (log)2(4.3^x-6)-(log)2(9^x-6)=1....

Solve: `(log)_2(4.3^x-6)-(log)_2(9^x-6)=1.`

Text Solution

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`log_2[(4*3^x-6)/(3^(2x)-6)]=1`
`(4*t-6)/(t^2-6)=2`
`4t-6=2t^2-12`
`2t^2-4t-6=0`
`t^2-3t+t-3=0`
`t(t-3)+1(t-3)=0`
`(t-3)(t+1)=0`
`t=3,-1`
...
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