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Question

The number of solutions of log4(x1)=log2(x3) is

A
3
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B
1
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C
2
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Solution

The correct option is B 1
log4 (x1)=log2(x3)
x10 and x30x3
12log2(x1)=log2(x3)
(x1)=(x3)2
x1=x2+96x
x27x+10=0
(x2)(x5)=0
x=2 or x=5
x=2 is not accept able (asxshouldbe3)
so, no.of solution is = 1

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