Question 1088904

{{{log (6x-7)+log (x)=log(5)}}}

{{{log ((6x-7)*x)=log(5)}}}...if log same, we have

{{{(6x-7)*x=5}}}

{{{6x^2-7x-5=0}}}

{{{6x^2-10x+3x-5=0}}}

{{{(6x^2-10x)+(3x-5)=0}}}

{{{2x(3x-5)+(3x-5)=0}}}

{{{(2x + 1)(3x - 5)=0}}}

solutions:

if {{{(2x + 1)=0}}}=>{{{x=-1/2)-> disregard negative solution
if {{{(3x - 5)=0}}}=>{{{x=5/3}}}

so, your solution is {{{x=5/3}}}