4power X - 4 power x-1=24,then find the value of x...
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Step-by-step explanation:
SOLUTION:-
4^x-(4^x-1)=24
=>4^x-(4^x.4^-1)=24
=>4^x(1 -1/4)=24
=>4^x(3/4)=24
=>4^x=24×4/3=32
=>4^x=16×2
=>4^x=4^2×2
we can replace 2 as √4 or (4)^1/2 .
so,4^x=4^(2+1/2)
=>4^x=4^(5/2)
=>x=5/2
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