38. log, (4* + 4) = log 2* + log; (...
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38. log, (4* + 4) = log 2* + log; (2X+1 – 3)

JEE/Engineering Exams
Maths
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( log _{2}left(4^{x}+4right)=log _{2}left(2^{2 x+1}-3.2^{x}right) ) ( 4^{x}+4=2^{2 x} cdot(2)-3left(2^{x}right) ) ( 2^{2 x}+4=2^{2 x}(2)-3left(2^{x}right) ) ( 0=2^{2 x}-3left(2^{x}right)-4 ) ( therefore quad ) Lit ( 2^{x}=t ) ( t^{2}-3 t-4=0 ) ( t=-1,4 ) ( 2^{x} eq-1 quad ) &o ( quad 2^{x}=4 ) ( x=2 )
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