Question 835378
Switch to x,y representation.
{{{y=5^(3x+1)-6}}}
Interchange x,y and solve for the new y.
{{{x=5^(3y+1)-6}}}
{{{x+6=5^(3y+1)}}}
{{{3y+1=log(5,(x+6))}}}
{{{3y=log(5,(x+6))-1}}}
{{{highlight_green(y=(1/3)*(log(5,(x+6))-1))}}}
This new y is the inverse of g(x).