If $${\log _{10000}}x = - \frac{1}{4}{\text{,}}$$ then the value of x is = ?
A. $$\frac{1}{{10}}$$
B. $$\frac{1}{{100}}$$
C. $$\frac{1}{{1000}}$$
D. $$\frac{1}{{10000}}$$
Answer: Option A
Solution(By Examveda Team)
$$\eqalign{ & {\text{let }}{\log _{10000}}x = - \frac{1}{4} \cr & \Rightarrow x = {\left( {10000} \right)^{ - \frac{1}{4}}} \cr & = {\left( {{{10}^4}} \right)^{ - \frac{1}{4}}} \cr & = {10^{ - 1}} \cr & = \frac{1}{{10}} \cr} $$Join The Discussion
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Some mistake in solution