Question

find the value of x 1/16× (1/2)^2 = (1/2)^3(x-2)​

Answer 1

Answer:

x = 17/8 ≈ 2.125

Step-by-step explanation:

1/16 ₓ (1/2)² = (1/2)³ (x-2)

1/16 ₓ 1/4 = 1/8 (x-2)  

1/64 = x-2/8            (move 8 from R.H.S to L.H.S and multiply with 1/64)

1/64 x 8 = x-2

8/64 = x-2               (simplify 8/64)

1/8 + 2 = x            (move -2 from R.H.S to L.H.S making +2 and take LCM)

1+16/8 = x

17/8 = x

∵ x = 17/8 ≈ 2.125