Question 703406
assume the problem is:
{{{3^((y-5)) = 4^((y+1))}}}
use natural logs and the log equiv of exponents
(y-5)ln(3) = (y+1)ln(4)
divide both sides by ln(3)
{{{y - 5 = (y+1)(ln(4)/ln(3))}}}
y - 5 = 1.26186(y + 1)
y - 5 = 1.26186y + 1.26186
-5 - 1.26186 = 1.26186y - y
 -6.26186 =  .26186y
y =  {{{-6.26186/.26186}}}
y = -23.913
:
:
You can check this out on a calc using the original equation
{{{3^(-28.913) = 4^(-22.913)}}}