Question 70986
{{{log(4,x^2-4) - log(4,x+2) = 2}}}
Note the rule that
{{{log(a) - log(b) = log(a/b)}}}
{{{log(4,(x^2-4)/(x+2)) = 2}}}
{{{log(4,(x+2)(x-2)/(x+2)) = 2}}}
{{{log(4,x-2) = 2}}}
{{{4^2 = x-2}}}
{{{16 = x-2}}}
{{{x = 18}}} answer
check the answer
{{{log(4,x^2-4) - log(4,x+2) = 2}}}
{{{log(4,18^2-4) - log(4,18+2) = 2}}}
{{{log(4,320) - log(4,20) = 2}}}
{{{log(4,320/20) = 2}}}
{{{log(4,16) = 2}}}
{{{4^2 = 16}}}
{{{16 = 16}}}
OK