Question

If 8 to the power x = 64/2 to the power x then find the value of x.

Answer 1

Answer:

Step-by-step explanation:

8ˣ = 64/2ˣ

=> (2³)ˣ = 2⁶/2ˣ

=> 2³ˣ = 2⁶⁻ˣ   ( ∵ Identities:  (Xᵃ)ᵇ  = Xᵃᵇ  and Xᵃ/Xᵇ = Xᵃ⁻ᵇ)

When bases are same powers are equal

=> 3x = 6 - x

=> 4x = 6

=> x = 6/4 = 3/2.

Answer 2

Step-by-step explanation:

Hope this answer is useful to you