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To solve the equation log2 x + log 4 x^2 = 6.
log4 x^2=( log2 x^2) / log 2 (4) = [ log2 x^2]/2. Using this we rewrite the given equation:
log2 x+(1/2) log2 x^2 = 6. Or
log2 x+ log2 x = 6. Or
2 log2 x = 6. Or
log2 x = 6/2 =3. Or
x = 2^3 = 8.
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