Question

Find x.

2^x + 2^x + 2^x = 192

Answer 1

We have, 2^x + 2^x + 2^x = 192

⇒ 2^x(1 + 1 + 1) = 192

⇒ 3 × (2^x) = 192

⇒ `2^x = 192/3 = 64`

⇒ 2^x = 2 × 2 × 2 × 2 × 2 × 2

⇒ 2^x = 2⁶

On comparing the power of 2, we get

x = 6