Question

please give the answer with explanation​

Answer 1

(5)^x-3 × (3)^2×-8 = 225

225 = 5^2 × 3^2

(5)^x-3 × (3)^2x-8 = 5^2 × 3^2

5 and 3 are cancelled from the 5 and 3 which are in equal

So,

x-3 × 2×-8 =2×2

2x^2-8x-6x+24=4

2(x^2 -7x + 12) =4

x^2 -7x + 12 = 2

x^2-7x + 10 =0

x^2-2x-5x+10=0

x (x-2)-5 (x-2)=0

(x-2) (×-5)=0

x=2 or x=5