Question 13 Marks
Evaluate the following without using log table:
$\frac{\log 9-\log 3}{\log 27}$
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Evaluate the following without using log table :
$\frac{\log 27}{\log \sqrt{3}}$
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Evaluate the following without using log tables:
$\frac{\log 128}{\log 32}$
View full question & answer→Question 43 Marks
Evaluate the following without using log table :
$\frac{\log 81}{\log 27}$
View full question & answer→Question 53 Marks
Evaluate the without using log table: $\log (1.2)+2 \log (0.75)-\log (6.75)$
View full question & answer→Question 63 Marks
Evaluate the without using log table: $2 \log 2+\log 5-\frac{1}{2} \log 36-\log \frac{1}{30}$
View full question & answer→Question 73 Marks
Evaluate the without using log table: $5 \log 2+\frac{3}{2} \log 25+\frac{1}{2} \log 49-\log 28$
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Evaluate the without using log table: $\log 8+\log 25+2 \log 3-\log 18$
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Evaluate the without using log table: $2 \log 5+\log 8-\frac{1}{2} \log 4$
View full question & answer→Question 103 Marks
If $\log \left(\frac{a+b}{2}\right)=\frac{1}{2}(\log a+\log b)$, show that $\frac{1}{2}(a+b)=\sqrt{a b}$.
Answer$\left[\right.$ Hint $\left.: \log \left(\frac{a+b}{2}\right)=\frac{1}{2}(\log a+\log b)=\log \sqrt{a b} \Rightarrow \frac{1}{2}(a+b)=\sqrt{a b}.\right]$
View full question & answer→Question 113 Marks
If $\log (m+n)=\log m+\log n$, show that $m=\frac{n}{n-1}$.
Answer$\left[\right.$ Hint $\left.: \log \left(\frac{a+b}{2}\right)=\frac{1}{2}(\log a+\log b)=\log \sqrt{a b} \Rightarrow \frac{1}{2}(a+b)=\sqrt{a b}.\right]$
View full question & answer→Question 123 Marks
Show that $\log (1+2+3)=\log 1+\log 2+\log 3$.
Answer$\left[\right.$ Hint $\left.: \log (1+2+3)=\log 6=\log \left(\begin{array}{lll}1 & 2 & 3\end{array}\right)=(\log 1+\log 2+\log 3)\right]$
View full question & answer→Question 133 Marks
By converting to exponential form, find the value of the following :
$\log _7 7$
View full question & answer→Question 143 Marks
By converting to exponential form, find the value of the following :
$\log _2(0.125)$
View full question & answer→Question 153 Marks
By converting to exponential form, find the value of the following :
$\log _{0.5}$ (16)
View full question & answer→Question 163 Marks
By converting to exponential form, find the value of the following :
$\log _3 \frac{1}{9}$
View full question & answer→Question 173 Marks
By converting to exponential form, find the value of the following :
$\log _8 32$
View full question & answer→Question 183 Marks
By converting to exponential form, find the value of the following :
$\log _2 64$
View full question & answer→Question 193 Marks
Evaluate the without using log table:
$\log (1.2)+2 \log (0.75)-\log (6.75)$
View full question & answer→Question 203 Marks
Evaluate the without using log table:
$2 \log 2+\log 5-\frac{1}{2} \log 36-\log \frac{1}{30}$
View full question & answer→Question 213 Marks
Evaluate the without using log table:
$5 \log 2+\frac{3}{2} \log 25+\frac{1}{2} \log 49-\log 28$
View full question & answer→Question 223 Marks
Evaluate the without using log table:
$\log 8+\log 25+2 \log 3-\log 18$
View full question & answer→Question 233 Marks
Evaluate the without using log table:
$2 \log 5+\log 8-\frac{1}{2} \log 4$
View full question & answer→Question 243 Marks
Evaluate the without using log table:
$\frac{\log 9-\log 3}{\log 27}$
View full question & answer→Question 253 Marks
Evaluate the without using log table:
$\frac{\log 27}{\log \sqrt{3}}$
View full question & answer→Question 263 Marks
Evaluate the without using log table:
$\frac{\log 128}{\log 32}$
View full question & answer→Question 273 Marks
Evaluate the without using log table:
$\frac{\log 81}{\log 27}$
View full question & answer→Question 283 Marks
If $\log _{10} x=p$ and $\log _{10} y=q$, show that $x y=(10) p+q$.
View full question & answer→Question 293 Marks
By converting to exponential form, find the value of each of :
$\log _7 7$
View full question & answer→Question 303 Marks
By converting to exponential form, find the value of each of :
$\log _2(0.125)$
View full question & answer→Question 313 Marks
By converting to exponential form, find the value of each of :
$\log _{0.5}(16)$
View full question & answer→Question 323 Marks
By converting to exponential form, find the value of each of :
$\log _3 \frac{1}{9}$
View full question & answer→Question 333 Marks
By converting to exponential form, find the value of each of :
$\log _8 32$
View full question & answer→Question 343 Marks
By converting to exponential form, find the value of each of :
$\log _2 64$
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