Questions

[1 Mark Question Answer]

🎯

Test yourself on this topic

21 questions · timed · auto-graded

Question 11 Mark
Express the following in terms of $\ \log 5$ and or $\log 2: \log 125$
Answer
$\log 125$
$= \log 5^3$
$= 3 \log 5.$
View full question & answer
Question 21 Mark
If $\log _{10}x = p$, express the following in terms of $x : 10^p$
Answer
$10^p$
$\log _{10}x = p$
$\Rightarrow x = 10^p .$
View full question & answer
Question 31 Mark
Express the following in the exponential form$:-2 = \log_2 0.25$
Answer
$-2 = \log_2 0.25$
$\Rightarrow 2^{-2} = 0.25.$
View full question & answer
Question 51 Mark
Express the following in the exponential form$:\log _{25} \sqrt{5}=\frac{1}{4}$
Answer
$\log _{25} \sqrt{5}=\frac{1}{4}$
$\Rightarrow \sqrt{5}=25 \frac{1}{4} .$
View full question & answer
Question 61 Mark
Express the following in the exponential form$:\log _{\sqrt{3}} 27=6$
Answer
$\log _{\sqrt{3}} 27=6$
$\Rightarrow 27=(\sqrt{3})^6 .$
View full question & answer
Question 81 Mark
Express the following in the exponential form$:\log _2 \frac{1}{2}=-1$
Answer
$\log _2 \frac{1}{2}=-1$
$\Rightarrow \frac{1}{2}=2^{-1} .$
View full question & answer
Question 101 Mark
Express the following in the exponential form$:\log _2 \frac{1}{32}=-5$
Answer
$\log _2 \frac{1}{32}=-5 $
$ \Rightarrow \frac{1}{32}=2^{-5} .$
View full question & answer
Question 111 Mark
Express the following in the exponential form$:\log_{10} 0.001 = -3$
Answer
$\log_{10} 0.001 = -3$
$\Rightarrow 0.001 = 10^{-3}.$
View full question & answer
Question 121 Mark
Express the following in the exponential form$:\log_3 81 = 4$
Answer
$\log_3 81 = 4$
$\Rightarrow 81 = 3^4.$
View full question & answer
Question 131 Mark
Express the following in the exponential form$:log_2 128 = 7$
Answer
$log_2 128 = 7$
$\Rightarrow 128 = 2^7.$
View full question & answer
Question 151 Mark
Express the following in the logarithmic form$:10^{-4} = 0.0001$
Answer
$10^{-4} = 0.0001$
$\Rightarrow log_{10} 0.0001 = -4.$
View full question & answer
Question 161 Mark
Express the following in the logarithmic form$:3^{-2}=\frac{1}{9}$
Answer
$3^{-2}=\frac{1}{9}$
$\Rightarrow \log _3 \frac{1}{9}=-2$
View full question & answer
Question 171 Mark
Express the following in the logarithmic form$:11^2 = 121$
Answer
$11^2 = 121$
$\Rightarrow log_{11} 121 = 2.$
View full question & answer
Question 181 Mark
Express the following in the logarithmic form $:\frac{1}{8}=2^{-3}$
Answer
$\frac{1}{8}=2^{-3}$
$\Rightarrow \log _2 \frac{1}{8}=-3$
View full question & answer
Question 201 Mark
Express the following in the logarithmic form$:5^4 = 625$
Answer
$5^4 = 625$
$\Rightarrow log_5 625 = 4.$
View full question & answer