Q.

The number of solutions of log4(x-1)=log2(x-3)

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a

3

b

1

c

2

d

0

answer is B.

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Detailed Solution

log4(x-1)=log2(x-3)⇒x-1=(x-3)2 ⇒x2-7x+10=0⇒(x-5)(x-2)=0 ∴x=5, 2 but x-3<0 when x=2 ∴Only solution is x=5 ∴Hence number of solution is one.
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