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Solve the equation x^(logx(x+3)^2 )=16...

Solve the equation `x^(log_x(x+3)^2 )`=16

A

0

B

1

C

2

D

`infty`

Text Solution

Verified by Experts

The correct Answer is:
A
`x^(log_(x)(x+3)^(2))=16," where " x gt x ne 1`
` rArr (x+3)^(2) = 16 `
` or x =1, -7`
Therefore, both values are not possible.
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CENGAGE PUBLICATION-LOGARITHM AND ITS PROPERTIES-Exercises (Single Correct Answer Type)
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  12. x^((log)5x)>5 implies x in (0,oo) (b) [2,2.5] (c) (2,2.5) (d) (0,2...

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  16. If (log)2x+(log)2ygeq6, then the least value of x+y is 4 (b) 8 (d...

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  17. Which of the following is a solution of (logx)(5/2-1/x) gt (5/2-1/x) ?

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