Question 925851
{{{2 * 3^(2x) = 5 }}}
divide both sides by 2
{{{3^(2x) = 2.5 }}}
use logs here
{{{log((3^(2x))) = log((2.5)) }}}
the log equiv of exponents
2x*log(3) = log(2.5)
2x = {{{log((2.5))/log((3))}}}
using a calc we have
2x = .834
x = .834/2
x = .417
:
:
confirm this on your calc enter 2 * 3^(2*.417)