If log ₁₀₀₀₀ x=-1/4, then x is equal to · ABC26GN2027

Subject: General Aptitude · Chapter: Logarithms

If $\log _{10000} x=-\frac{1}{4}$, then $x$ is equal to

(a)$\frac{1}{10}$

(b)$\frac{1}{100}$

(c)$\frac{1}{1000}$

(d)$\frac{1}{10000}$

Answer

Answer (as printed): A

Explanation

Let $\log _{10000} x=-\frac{1}{4} \Leftrightarrow x=(10000)^{-\frac{1}{4}}=\left(10^{4}\right)^{-1 / 4}$ $=10^{-1}=\frac{1}{10}$.

Explanation as extracted from the printed page; notation may be imperfect.

Study loop for Logarithms