Question 332012
{{{log (x,(x+42)=2}}}
{{{x+42 = x^2}}}
{{{0 = x^2-x-42}}}
Factoring:
{{{0 = (x-7)(x+6)}}}
x = {-6,7}
Toss out the -6 because it is an extraneous solution leaving:
x = 7