Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
If $\log _{10} 7=0.8451$, then the position of the first significant figure of $7^{-20}$ is
MathematicsBasic of MathematicsKCETKCET 2008
Options:
  • A 16
  • B 17
  • C 20
  • D 15
Solution:
1620 Upvotes Verified Answer
The correct answer is: 17
Let $x=7^{-20}$
$$
\begin{aligned}
\log _{10} x &=-20 \log _{10} 7 \\
&=-20(0.8451) \\
&=-16.902
\end{aligned}
$$
Hence, the first significant figure is $17 .$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.