Question

Find the value of ‘x ‘if 5^(x-3) X 3^(2x-8)=225

Answer 1

225= 3^2*5^2
=>x-3=2 and 2x-8=2
equating,
=> x-3=2x-8
=>x=5

Answer 2

225=15^2
     = 5^2x3^2
comparing we get ,
x-3=2
x=5