Question 925851
{{{2 * 3^(2x) = 5}}}

{{{3^(2x) = 5/2}}}...use logarithm


{{{log(3^(2x)) = log(5/2)}}}


{{{x*log(3^2) = log(5)-log(2)}}}


{{{x = (log(5)-log(2))/log(9)}}}


{{{x = (log(5)-log(2))/log(3^2)}}}


{{{x = (log(5)-log(2))/2log(3)}}}


{{{x = (0.698970004336-0.30102999566398)/(2*0.4771212547)}}}


{{{x=0.417}}}

{{{drawing( 600, 600, -5, 5, -5, 10,circle(0.42,5/2,.1),locate(0.417,5/2,p(0.417,5/2)), graph( 600, 600, -5, 5, -5, 10, 5/2, 3^(2x))) }}}