Question 326418
{{{log((2x+5))+log((x+1))=1}}}
{{{log((2x+5)(x+1))=1}}}
{{{(2x+5)(x+1)=10}}}
Use the FOIL method,
{{{2x^2+2x+5x+5=10}}}
{{{2x^2+7x-5=0}}}
Use the quadratic formula,
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
{{{x = (-7 +- sqrt( 7^2-4*2*(-5) ))/(2*2) }}}  
{{{x = (-7 +- sqrt( 49+40))/4 }}}  
{{{x = (-7 +- sqrt( 89))/4 }}}
Use only the positive result since log function requires positive arguments.
{{{highlight( x=(-7+sqrt(89))/4)}}}