Math, asked by tapankaruri66, 9 months ago

log( x + 2 )+ log( x- 2 )=log 5 find x​

Answers

Answered by manishpandey9554
2

Answer:

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Answered by Anonymous
2
LOG ( (x+2)(x-2)) = log 5

(x+2)(x-2) = 5

x^2 - 4 = 5

x^2 - 9 = 0

(x+3)(x-3)=0

x= -3 or x = 3

The solution x=-3 results in the log of a negative number,
and negative numbers are NOT in the domain of the log function.

The solution x=3 checks out! log(3+2) + log (3-2) = log(5) + log(1) = log(5) + 0 = log(5)

So x=3


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