Find the value of \( \Large \frac{log_{10}400}{log_{10}4} \)
Correct Answer: Description for Correct answer:
\( \Large \frac{log_{10}400}{log_{10}4}=\frac{log_{10} \left(4 \times 100\right) }{log_{10}4} \)
=\( \Large log_{10} \left(4 \times 100\right)-log_{10}4 \)
=\( \Large log_{10}4+log_{10}100-log_{10}4 \)
=\( \Large log_{10}10^{2}=2log_{10}10=2 \)
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