Question 20604
You got a good start.
{{{3^(2x+5) = 4}}} Take the log of both sides.
{{{(2x+5)log(3) = log(4)}}} Divide both sides of the equation by log(3).
{{{2x+5 = (log(4))/log(3)}}} Subtract 5 from both sides.
{{{2x = ((log(4))/log(3)) - 5}}} Use you calculator to find {{{(log(4))/log(3)}}}
{{{2x = 1.262 - 5}}}
{{{2x = -3.738}}} Divide both sides by 2.
{{{x = -1.869}}}