Question

10^-3x = 8 then 10^x = ………………….. 

A) 1/4

B) – 2 

C) 2 

D) 1/2

Answer 1

Correct option is (D) 1/2

\(10^{-3x}=8\)

\(\Rightarrow\) \((10^{-x})^3=2^3\)

\(\Rightarrow\) \(10^{-x}=2\)

\(\Rightarrow\) \((10^{-x})^{-1}=2^{-1}\)

\(\Rightarrow\) \(10^x=2^{-1}=\frac{1}{2}\)

Answer 2

Correct option is  D) 1/2