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Solve 4^x-10.2^(x-1)=24...

Solve `4^x-10.2^(x-1)=24`

Text Solution

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`4^x-10*2^(x-1)=24`
`(2x)^2-10*(2^x/2)=24`
`(2^x)^2-5*(2^x)=24`
`2^x=y,y^2-5y-24=0`
`(y+3)(y-8)=0`
`y=-3,8`
`2^x=-3`
`2^x=8`
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