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Question

If a12x.b1+2x=a4+x.b4x; a,b>0 & ab, then the value of x is

A
log(ba)(ab)
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B
log(ab)(ab)
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C
12log(ab)(ab)
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D
12log(ba)(ab)
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Solution

The correct option is A log(ba)(ab)
a3(x+1)=b3(x1)3(x+1)loga=3(x1)logbx(logbloga)=logb+logax=logb+logalogblogax=log(ba)(ab)

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