find the value of x:5^x-3 * 3^2x-8=225

the given equation is

equating the exponents of 3 and 5 on the both sides:

x-3 = 2

i.e. x = 3+2 =5

and 2x-8 = 2*5-8=10-8 = 2

therefore x = 5 satisfies the given equation.

hope this helps you.