4 {}^{x} - 4 {}^{x - 1}=24 find x
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4^x-4^x-1=24
4^x-4^x×4^-1=24
Taking 4^x as common
4^x(1-4^-1)=24
4^x(1-1/4)=24
4^x(4-1/4)=24
4^x(3/4)=24
4^x=24×4/3
4^x=32
4^x=2^5
(2²)^x=2^5
2^2x=2^5
Since base is same we can compare the power
2x=5
x=5/2
4^x-4^x×4^-1=24
Taking 4^x as common
4^x(1-4^-1)=24
4^x(1-1/4)=24
4^x(4-1/4)=24
4^x(3/4)=24
4^x=24×4/3
4^x=32
4^x=2^5
(2²)^x=2^5
2^2x=2^5
Since base is same we can compare the power
2x=5
x=5/2
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