the number of solutions of x log x(x+3)2 =25 is 1)0 2)1 3)2 4)infinity
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the number of solutions of x log x(x+3)2 =25 is 1)0 2)1 3)2 4)infinity
the number of solutions of x log x(x+3)2 =25 is 1)0 2)1 3)2 4)infinity
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Explanation:
Find the number of solutions of the equation, x
log x
(x+3) 2 =16
x log x
(x+3) 2=16
x loge
xloge
(x+3) 2 =16
Taking logarithm on both sides, loge
xloge
(x+3) 2loge
x=loge
16⇒(x+3) 2
=16⇒x=1,−7
But x=1, is not possible as the base of logarithm cannot be 1.
−7 is not possible as the log of a negative quantity does not exist.
So, the number of solution =0.
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