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Math Chapter 2 : Topic 2
Logarithms
1 / 22
What does $\log_{10}100$ equal?
Reasoning: Since $10^{2} = 100$, so $\log_{10}100 = 2$.
2 / 22
Which expression is equivalent to $\log_{10}x = 3$?
Reasoning: Logarithm definition: if $log\ a = b$, then $a = 10^{b}$.
3 / 22
The value of $\log_{10}\ 1$ is:
Reasoning: Because $10^{0} = 1$.
4 / 22
Which statement correctly defines a logarithm?
Reasoning: Logarithm is the inverse of exponentiation.
5 / 22
If $\log_{10}\ 1000 = x$, then $x$ is:
Reasoning: Since $10^{3} = 1000$.
6 / 22
Which of the following is $NOT$ valid for logarithms?
Reasoning: Logarithm of zero is undefined.
7 / 22
If $\log_{10}\ x = 0$, then $x$ is:
Reasoning: Because $(10^{0} = 1)$.
8 / 22
What is the base of common logarithm?
Reasoning: Common logarithm uses base $10$.
9 / 22
If $\log_{10}\ 10000 = x$, then $x$ equals:
Reasoning: $(10^{4} = 10000)$
10 / 22
Which number has logarithm equal to $1$?
Reasoning: $\log_{10}\ 10 = 1$
11 / 22
Which is correct?
Reasoning: Since $50$ lies between $10^{1}$ and $10^{2}$.
12 / 22
If $x = \log_{10}\ 100$, then $10^{x}$ equals:
Reasoning: Inverse property of logs.
13 / 22
Which value is negative in logarithm?
Reasoning: Logarithm of numbers less than $1$ is negative.
14 / 22
Which is true?
Reasoning: Log rules transform multiplication into addition.
15 / 22
If $\log_{10}\ x = 2$, then $x$ is:
Reasoning: $(10^{2} = 100)$
16 / 22
What is $\log_{10}\ 0.01$?
Reasoning: $(0.01 = 10^{- 2})$, so $log = - \ 2$
17 / 22
Which number has logarithm $3$?
Reasoning: $(10^{3} = 1000)$
18 / 22
Which statement is correct about logarithms?
Reasoning: Depends on number value.
19 / 22
If $\log_{10}\ x = - \ 1$, then $x$ is:
Reasoning: $(10^{- 1} = 0.1)$
20 / 22
Logarithm is the inverse of:
Reasoning: Logs undo powers.
21 / 22
Which number has the greatest logarithm?
Reasoning: Largest number gives largest log.
22 / 22
If $\log_{10}5 = a$, then $\log_{10}\ 50$ equals:
Reasoning: $(50 = 5 \times 10)$, so log adds.
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