Question

Solve for x :  (a^{3x + 5})². (a^x)⁴ = a^{8x + 12}

Answer 1

(a^{3x + 5})². (a^x)⁴ = a^{8x + 12} 

⇒ a^{6x + 10 + 4x =} a^{8x + 12}
If bases are the same, powers are also same
⇒ 10x + 10 = 8x + 12
⇒ 2x = 2
⇒ x = 1