Question 184111
Convert to log 10
http://www.mathwords.com/c/change_of_base_formula.htm

{{{log3(5x+1) = (log(5x+1))/(log3))}}}
{{{(log(5x+1))/(0.477)}}}

Now that it is converted, solve
{{{(log(5x+1))/(0.477) = 2}}}
{{{log(5x+1) = 0.9542}}}
{{{(5x+1) = 10^0.9542}}}
{{{(5x+1) = 9}}}
{{{5x = 8}}}
{{{x = 8/5}}}