Question 172820
{{{log(2)*(x-8) + log(2)*(x+4) = 5}}}
{{{log(2)*(x - 8 + x + 4) = 5}}}
{{{log(2) *(2x - 4) = 5}}}
{{{2*log(2)*(x - 2) = 5}}}
{{{log(2^2)*(x-2) = 5}}}
{{{x - 2 = 5/log(4)}}}
{{{x = 5/log(4) + 2}}} answer
I'll check the answer
{{{log(2)*(x-8) + log(2)*(x+4) = 5}}}
{{{log(2)*(5/log(4) + 2 - 8) + log(2)*(5/log(4) + 2 + 4) = 5}}}
{{{log(2)*(5/log(4) - 6) + log(2)*(5/log(4) + 6) = 5}}}
{{{5*(log(2)/log(4)) - 6*log(2) + 5*(log(2)/log(4)) + 6*(log(2)) = 5}}}
{{{10*(log(2)/log(4)) = 5}}}
{{{log(2)/log(4) = 1/2}}}
{{{log(2) = (1/2)*log(4)}}}
{{{log(2) = log(4^(1/2))}}}
{{{log(2) = log(2)}}}
OK