Question 1130976
 {{{log((3x+1))+log((1/2))+log((2x-5))=0 }}}

 {{{log(((3x+1)(1/2)(2x-5)))=0 }}}.......{{{0=log(10,1)}}}

 {{{log(((3x+1)(1/2)(2x-5)))=log(10,1) }}}

{{{(3x+1)(1/2)(2x-5)=1 }}}

{{{(3x+1)(2x-5)=1/(1/2) }}}

{{{6x^2-15x+2x-5=2 }}}

{{{6x^2-13x-5=2 }}}

{{{6x^2-13x-5-2=0 }}}

{{{6x^2-13x-7=0 }}}



{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}

{{{x = (-(-13) +- sqrt( (-13)^2-4*6*(-7) ))/(2*6) }}}

{{{x = (13 +- sqrt(169+168 ))/12 }}}

{{{x = (13 +- sqrt( 337 ))/12 }}}


solutions:

{{{x = 13/12 + sqrt(337)/12 }}}

{{{x = 13/12 - sqrt(337)/12 }}}