Question

Find the value of x, if 3^{x – 7} × 4^{x – 4} = 768.

Answer 1

Given: 3^{x – 7} × 4^{x – 4} = 768

⇒ 3^{x – 7} × 4^{x – 4} = 3 × 4⁴

We get by equating the exponents

x – 7 = 1 and x – 4 = 4

x = 1 + 7 and x = 4 + 4

x = 8 and x = 8

As a result, the value of x is 8.