Question

Find the value of x in the following:

2⁵⁰ + 2^x = 2⁵¹

Answer 1

Given, 2⁵⁰ + 2^x = 2⁵¹

Since, 2⁵⁰ + 2^x = 2⁵¹ 

⇒ 2^x = 2⁵¹ – 2⁵⁰

⇒ 2^x = 2⁵⁰ × (2 – 1)

⇒ 2^x = 2⁵⁰ 

∴ x = 50