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Find the number of solution to equation ...

Find the number of solution to equation ` log_(2)(x+5) = 6 - x`:

A

2

B

0

C

3

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
We have,
`"log"_(2) (x+5) = 6-x rArr x + 5 = 2^(6-x)`
In order to find the values of x satisfying the above equation,let us consider the graphs of the functions `y = x + 5" and " y = 2^(6-x)`

We observe that the two curves intersect at exactly one point.
Hence, the given equation has exactly one solution.
ALITER By trial and error method, we observe that x = 3 is the solution of `x + 5 = 2^(6-x)`
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OBJECTIVE RD SHARMA ENGLISH-LOGARITHMS-Section I - Solved Mcqs
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  14. If log(0.04) (x-1)>=log(0.2) (x-1) then x belongs to the interval

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