Problem 819

Sir SagarJuly 3, 2015July 3, 20150

Find x in the following equation.

$log_{10} (x+12) -log_{10} (x-12) = 1$

Solution:-

Apply property $log_{b} M = log_{b}N$ if and only if M = N.

$\frac{x+12}{x-12}$ = 10

Multiply both sides by x-12.

x +12 = 10(x-12)

Simplify to ax = b with a positive

9x = 132

Divide both sides by 9 and simplify

x = $\frac{44}{3}$

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