[JEE Advanced 1978] Solve for $x$: $4^x-3^{\,x-1/2}=3^{\,x+1/2}-2^{\,2x-1}$.
Solve for $x$: $4^x-3^{\,x-1/2}=3^{\,x+1/2}-2^{\,2x-1}$.
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Solve for $x$: $4^x-3^{\,x-1/2}=3^{\,x+1/2}-2^{\,2x-1}$.
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