Question 828637
{{{ 3^(9x-2)=243 }}}
'
Rule of exponents allows {{{(3^(9x))/(3^2)=243}}}
{{{3^(9x)=9*243}}}
{{{3^(9x)=9*27*9}}}
{{{3^(9x)=9^5}}}
{{{3^(9x)=(3^2)^5=3^10}}}
'
The bases on left and right members are equal.  This means their exponents are equal:
{{{9x=10}}}
{{{highlight(x=10/9)}}}