First slide

Log

Question

Find for x:
if log(x-1) +log (x+1) = $\log_{2} 1$

Moderate

A

$\sqrt{3}$
B

$\sqrt{2}$
C

$\sqrt{5}$
D

1

Solution

$\log (x - 1) + \log (x + 1) = \log_{2} 1 \log [(x - 1) (x + 1)] = \log 1 S i n c e \log 1 = 0 ∴ x^{2} - 1 = 1 x = \sqrt{2}$

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