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Question: The equation \(\frac{1}{2}\)log (x<sup>2</sup> + 2x) – log \(\sqrt{x + 2}\)= 0 has the solution –...

The equation 12\frac{1}{2}log (x2 + 2x) – log x+2\sqrt{x + 2}= 0 has the solution –

A

x = 1

B

x = – 2

C

x = – 2, 1

D

None

Answer

x = 1

Explanation

Solution

log(x2 + 2x) = log(x + 2)

x2 + 2x – x – 2 = 0 Ž (x + 2) (x – 1) = 0

Ž x = – 2, 1 Ž x = 1