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Question

Number of integral values of a for which equation loge(x2+5x)=loge(x+a+3) has exactly one solution is

A
4
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B
5
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C
6
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D
1
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Solution

The correct option is B 5
x2+5x>0x(,5)(0,)
Now, x2+5x=x+a+3
x2+4x=a+3

So 0<a+35
3<a2
So a=2,1, 0, 1, 2

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