Question 90339
{{{log(6,x + 3) + log(6,x + 4) = 1}}}
{{{log(6,(x + 3)(x + 4)) = 1}}}
{{{(x + 3)(x + 4) = 6^1}}}
{{{x^2 + 7x + 12 = 6}}}
{{{x^2 + 7x + 6 = 0}}}
{{{(x + 6)(x + 1) = 0}}}
x = -6 and -1
Check:
x = -1 only
{{{graph(300,300,-8,2,-5,5,log(6,x + 3) + log(6,x + 4),1)}}}