[4 marks sum]

Questions

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5 questions · timed · auto-graded

Question 14 Marks

Express $\log _{10}\left(\frac{\sqrt{p q^3}}{r^2 s}\right)$ in terms of $\log _{10} p, \log _{10} q, \log _{10} r$ and $\log _{10} 8$.

Answer

$\frac{1}{2}\left(\log _{10} p+3 \log _{10} q\right)-2 \log _{10} r-\log _{10} s$

Question 24 Marks

Express $\log _{10}\left(\frac{x^2 y^3}{z}\right)$ in terms of $\log _{10} x, \log _{10} y$ and $\log _{10} z$.

Answer

$2 \log _{10} x+3 \log _{10} y-\log _{10} z$

Question 34 Marks

Write the logarithmic equation for: $x=a b \sqrt{\frac{a-b}{a+b}}$

Answer

$\log x=\log a+\log b+\frac{1}{2}[\log (a-b)-\log (a+b)]$

Question 44 Marks

Write the logarithmic equation for: $R =\sqrt{\frac{3 V}{\pi h}}$

Answer

$\log R=\frac{1}{2}(\log 3+\log V-\log \pi-\log h)$

Question 54 Marks

If $\left(\log 7-\log 2+\log 16-2 \log 3-\log \frac{7}{45}\right)=1+\log n$, find the value of $n$.

Answer

$n=4$
[Hint : RHS $=\log 10+\log n=\log (10 n)$.]

[4 marks sum] - MATHEMATICS STD 9 Questions - Vidyadip

MATHEMATICS [4 marks sum]