Question 12 Marks
If $\log 8=0.9030$, find the value of :
$\log (0.125)$
Answer-0.903
[Hint : $\log 8=0.9030 \Rightarrow 3 \log 2=0.9030 \Rightarrow \log 2=0.3010$.]
View full question & answer→Question 22 Marks
If $\log 8=0.9030$, find the value of :
$\log \sqrt{32}$
Answer0.7525
[Hint : $\log 8=0.9030 \Rightarrow 3 \log 2=0.9030 \Rightarrow \log 2=0.3010$.]
View full question & answer→Question 32 Marks
If $\log 8=0.9030$, find the value of :
$\log 4$
Answer0.602
[Hint : $\log 8=0.9030 \Rightarrow 3 \log 2=0.9030 \Rightarrow \log 2=0.3010$.]
View full question & answer→Question 42 Marks
If $\log 2=0.3010$, find the value of $\left(\log \frac{75}{16}-2 \log \frac{5}{9}+\log \frac{32}{243}\right)$.
View full question & answer→Question 52 Marks
Given : $\log 2=0.3010$ and $\log 3=0.4771$, find the value of :
$\log \left(\frac{9}{4}\right)$
View full question & answer→Question 62 Marks
Given : $\log 2=0.3010$ and $\log 3=0.4771$, find the value of :
$\log \sqrt{18}$
View full question & answer→Question 72 Marks
Given : $\log 2=0.3010$ and $\log 3=0.4771$, find the value of :
$\log 25$
View full question & answer→Question 82 Marks
Given : $\log 2=0.3010$ and $\log 3=0.4771$, find the value of :
$\log 12$
View full question & answer→Question 92 Marks
Express the following as a single logarithm :
$1-\frac{1}{3} \log _{10} 64$
View full question & answer→Question 102 Marks
Express the following as a single logarithm :
$2 \log _{10}\left(\frac{11}{13}\right)+\log _{10}\left(\frac{130}{77}\right)-\log _{10}\left(\frac{55}{91}\right)$
View full question & answer→Question 112 Marks
Express the following as a single logarithm :
$\frac{1}{2} \log _{10} 9+\frac{1}{4} \log _{10} 81+2 \log _{10} 6-\log _{10} 12$
View full question & answer→Question 122 Marks
Express the following as a single logarithm :
$2+\frac{1}{2} \log _{10} 9-2 \log _{10} 5$
View full question & answer→Question 132 Marks
Express the following as a single logarithm :
$2 \log _{10} 5+2 \log _{10} 3-\log _{10} 2+1$
View full question & answer→Question 142 Marks
Express the following as a single logarithm :
$2 \log _{10} 8+\log _{10} 36-\log _{10}(1.5)-3 \log _{10} 2$
View full question & answer→Question 152 Marks
Evaluate : $\log \frac{81}{8}+2 \log \frac{2}{3}-3 \log \frac{3}{2}+\log \frac{3}{4}$
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Evaluate : $3 \log 2-\frac{1}{3} \log 27+\log 12-\log 4+3 \log 5$
View full question & answer→Question 172 Marks
Evaluate : $\log 5+16 \log \left(\frac{625}{6}\right)+12 \log \left(\frac{4}{375}\right)+7 \log \left(\frac{81}{1250}\right)$
View full question & answer→Question 182 Marks
Solve for x : $\frac{\log x}{\log 5}=\frac{\log 9}{\log \left(\frac{1}{3}\right)}$
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Solve for x : $2 \log x+1=\log 250$
View full question & answer→Question 202 Marks
Solve for x : $\log \left(x^2-21\right)=2$
View full question & answer→Question 212 Marks
Solve for x : $\log (x+3)-\log (x-3)=1$
View full question & answer→Question 222 Marks
Solve for x : $\log (x+4)-\log (x-4)=\log 2$
View full question & answer→Question 232 Marks
Solve for x : $\log (x+2)+\log (x-2)=\log 5$
View full question & answer→Question 242 Marks
If $\log 27=1.4313$, find the value of :
$\log 30$
View full question & answer→Question 252 Marks
If $\log 27=1.4313$, find the value of :
$\log 9$
View full question & answer→Question 262 Marks
Given $\log _{10} x=a, \log _{10} y=b$,
If $\log _{10} P =2 a-b$, express P in terms of $x$ and $y$.
View full question & answer→Question 272 Marks
Given $\log _{10} x=a, \log _{10} y=b$,
Write down $10^{2 b}$ in terms of $y$.
View full question & answer→Question 282 Marks
Given $\log _{10} x=a, \log _{10} y=b$,
Write down $10^{a+1}$ in terms of $x$.
View full question & answer→Question 292 Marks
Find the value of x, when : $\log _2\left(x^2-9\right)=4$
View full question & answer→Question 302 Marks
Find the value of x, when : $\log _x 64=\frac{3}{2}$
View full question & answer→Question 312 Marks
Find the value of x, when : $\log _5\left(x^2-19\right)=3$
View full question & answer→Question 322 Marks
Find the value of x, when : $\log _{\sqrt{3}}(x-1)=2$
View full question & answer→Question 332 Marks
Find the value of x, when : $\log _x(0.008)=-3$
View full question & answer→Question 342 Marks
Find the value of x, when : $\log _3 x=0$
View full question & answer→Question 352 Marks
Find the value of x, when : $\log _9 243=x$
View full question & answer→Question 362 Marks
Find the value of x, when : $\log _x 9=1$
View full question & answer→Question 372 Marks
Find the value of x, when : $\log _2 x=-2$
View full question & answer→Question 382 Marks
Convert the following to exponential form :
$\log _a 1=0$
View full question & answer→Question 392 Marks
Convert the following to exponential form :
$\log _5\left(\frac{1}{5}\right)^0=-1$
Answer$5^{-1}=\frac{1}{5}$
View full question & answer→Question 402 Marks
Convert the following to exponential form :
$\log _{10}(0.01)=-2$
View full question & answer→Question 412 Marks
Convert the following to exponential form :
$\log _2 \frac{1}{8}=-3$
Answer$2^{-3}=\frac{1}{8}$
View full question & answer→Question 422 Marks
Convert the following to exponential form :
$\log _8 4=\frac{2}{3}$
Answer$(8)^{\frac{2}{3}}=4$
View full question & answer→Question 432 Marks
Convert the following to exponential form :
$\log _3 81=4$
View full question & answer→Question 442 Marks
Convert the following to logarithmic form :
$4^{-1}=\frac{1}{4}$
Answer$\log _4 \frac{1}{4}=-1$
View full question & answer→Question 452 Marks
Convert the following to logarithmic form :
$10^{-2}=0.01$
Answer$\log _{10}(0.01)=-2$
View full question & answer→Question 462 Marks
Convert the following to logarithmic form :
$6^0=1$
View full question & answer→Question 472 Marks
Convert the following to logarithmic form :
$(64)^{\frac{1}{3}}=4$
Answer$\log _{64} 4=\frac{1}{3}$
View full question & answer→Question 482 Marks
Convert the following to logarithmic form :
$3^{-3}=\frac{1}{27}$
Answer$\log _3\left(\frac{1}{27}\right)=-3$
View full question & answer→Question 492 Marks
Convert the following to logarithmic form :
$5^2=25$
View full question & answer→Question 502 Marks
Convert each of the to logarithmic form :
$(64)^{\frac{1}{3}}=4$
Answer$\log _{64} 4=\frac{1}{3}$
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