Question 381548
{{{log (10,(x-4))+log (10,(x+4))=2}}}
{{{log (10,((x-4)(x+4)))=2}}}
{{{(x-4)(x+4)=10^2}}}
{{{x^2-16=100}}}
{{{x^2=116}}}
{{{x=0 +- sqrt(116)}}}
{{{x=0 +- 2*sqrt(29)}}}
Since the log function requires a positive argument,
{{{highlight(x=2*sqrt(29))}}} or approximately,
{{{x=10.7703}}}