Question

5^x-2*3^2x-8=225 find the value of x​

Answer 1

We have,

(5^x-2)*(3^2x-8) = 225

= (5^x-2)*(3^2x-8) = 15*15

= (5^x-2)*(3^2x-8) = 3^2*5^2

Hence, comparing exponents on both sides.

2x - 8 = 2

Hence,  x = 5