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Questions and Answers
If $\log_{a}m = x$, then $\log_{1/a} 1m$ equals:
If $\log_{a}m = x$, then $\log_{1/a} 1m$ equals:
- $-\frac{1}{x}$
- $1 - x$ (correct)
- $-x$
- $x$
Find the value of $x$ if the base is 10 in the equation $5\log{x} - 3\log{x}^{-1} = 3\log{x} + 1 - 5\log{x}^{-1}$:
Find the value of $x$ if the base is 10 in the equation $5\log{x} - 3\log{x}^{-1} = 3\log{x} + 1 - 5\log{x}^{-1}$:
- 10
- 1
- 100
- 0 (correct)
If $\log_{a} \log_{b} \log_{c}\frac{1}{bc} = 0$, then $abc$ equals:
If $\log_{a} \log_{b} \log_{c}\frac{1}{bc} = 0$, then $abc$ equals:
- $0$
- $-1$
- $abc$
- $1$ (correct)
The value of $3^4\log_b\log_a\log_c$ is:
The value of $3^4\log_b\log_a\log_c$ is:
Evaluate $x$ if $\log_3 (3 + x) + \log_3 (8 - x) - \log_3 (9x - 8) = 2 - \log_3 9$:
Evaluate $x$ if $\log_3 (3 + x) + \log_3 (8 - x) - \log_3 (9x - 8) = 2 - \log_3 9$:
If $x = \log_{abc}$, $y = \log_{bca}$, $z = \log_{cab}$, then:
If $x = \log_{abc}$, $y = \log_{bca}$, $z = \log_{cab}$, then:
The number log27 is:
The number log27 is:
In the equation $log_{2}x + log_{4}x = 1$, the value of x is?
In the equation $log_{2}x + log_{4}x = 1$, the value of x is?
If $log_{a}x = p$ and $log_{b}x = q$, then $log_{ab}x$ equals?
If $log_{a}x = p$ and $log_{b}x = q$, then $log_{ab}x$ equals?
The number of distinct real solutions of the equation $log_{2}(3x+1) = log_{3}(2x-1)$ is?
The number of distinct real solutions of the equation $log_{2}(3x+1) = log_{3}(2x-1)$ is?
If $log_{5}a = p$ and $log_{25}a = q$, then $p^2 - q^2$ is equal to?
If $log_{5}a = p$ and $log_{25}a = q$, then $p^2 - q^2$ is equal to?
If $log_{a}b = x$, then $log_{a^2}b^3$ is equal to?
If $log_{a}b = x$, then $log_{a^2}b^3$ is equal to?
If $log_{a}x = p$, $log_{b}x = q$, and $log_{ab}x = r$, then $r^2 - pq$ equals?
If $log_{a}x = p$, $log_{b}x = q$, and $log_{ab}x = r$, then $r^2 - pq$ equals?
What is the value of N in the given equation 16 = 16/100 = 4/25 = (2/5)^2?
What is the value of N in the given equation 16 = 16/100 = 4/25 = (2/5)^2?
In the equation (2x)ln 2 = (3y)ln 3, 3ln x = 2ln y, what is the value of x0?
In the equation (2x)ln 2 = (3y)ln 3, 3ln x = 2ln y, what is the value of x0?
If the sum of the first 20 terms of the series is 460, then what is the value of x?
If the sum of the first 20 terms of the series is 460, then what is the value of x?
What is the logarithm of to the base 2√2?
What is the logarithm of to the base 2√2?
If log7 2 = m, then what is log49 28 equal to?
If log7 2 = m, then what is log49 28 equal to?
What is the value of log3 4 log4 5 log5 6 log6 7 log7 8 log8 9?
What is the value of log3 4 log4 5 log5 6 log6 7 log7 8 log8 9?
If a^2 + 4b^2 = 12ab, then what is log(a + 2b) equal to?
If a^2 + 4b^2 = 12ab, then what is log(a + 2b) equal to?
What is the value of (0.1 + 0.01 + 0.001 + ...) equal to?
What is the value of (0.1 + 0.01 + 0.001 + ...) equal to?
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