Question

log (x+3) - log (x-3) = 1​

Answer 1

Answer:

$x = \frac{11}{3}$

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Step-by-step explanation:

$log(b) - log(a) = log( \frac{b}{a} )$

$by \: using \: above \: formula \: we \: get \: log(x + 3) - log(x - 3) = 1 \\ log( \frac{x + 3}{x - 3} ) = 1$

$if \: log(a) = 1 = > a = 10$

$log( \frac{x + 3}{x - 3} ) = 1 = > \frac{x + 3}{x - 3} = 10 \\ x + 3 = 10(x - 3) = > x + 3 = 10x - 30 = > 33 = 9x = > x = \frac{33}{9} = \frac{11}{3} = 3.666667$