Q.

The number of solutions of the equation log4x−1=log2x−3  is  ____

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answer is 1.

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Detailed Solution

given equation is   logx-1 4  =log( 2 x-3)  , it is defined for x>3    log4(x-1)=log22(x-3)2(x-3)2=x-1,x2-7x+10=0x=5 only ⇒ one solution
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The number of solutions of the equation log4x−1=log2x−3  is  ____