Question

If 64^{x – 1} + 4^{4x – 1} = 65, then find the value of x.
1. 2
2. 4
3. 5
4. 1

Answer 1

Correct Answer - Option 4 : 1

Given

64x – 1 + 44x – 1 = 65

Concept

(a^m)ⁿ = a^mn

Calculation

Putting x = 1, we get

64x – 1 + 44x – 1

= 641 – 1 + 44 – 1

= 640 + 43

= 1 + 64

= 65

Hence, x = 1