If $$2³ : 8^{(5.06)}: :8^{( -4.06)}:x$$​, find the value of x.

Correct option is B

Given:
​$$2³ : 8^{5.06} : :8^{(-4.06) }:x$$​​
Concept Used:
ratio and proportion
x : y :: p : q
​$$\frac{x}{y}=\frac{p}{q}$$​​
Solution:
​$$2³ : 8^{5.06} : :8^{(-4.06) }:x$$​​
This can also be written as
​$$\frac{2^3}{8^{5.06}} = \frac{8^{-4.06}}{x}\\\ \\ \frac{2^3}{2^{3 \times 5.06}} = \frac{2^{3 \times -4.06}}{x} \\\ \\\frac{2^3}{2^{15.18}} = \frac{2^{-12.18}}{x} \\\ \\ x \cdot 2^{3 - 15.18} = 2^{-12.18}\\\ \\x = 2^{-12.18 + 12.18}\\\ \\x = 2^0 \\ \\x = 1$$​​