Podcast
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:
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 $5\log{x} - 3\log{x}^{-1} = 3\log{x} + 1 - 5\log{x}^{-1}$:
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:
The value of $3^4\log_b\log_a\log_c$ is:
The value of $3^4\log_b\log_a\log_c$ is:
Signup and view all the answers
Evaluate $x$ if $\log_3 (3 + x) + \log_3 (8 - x) - \log_3 (9x - 8) = 2 - \log_3 9$:
Evaluate $x$ if $\log_3 (3 + x) + \log_3 (8 - x) - \log_3 (9x - 8) = 2 - \log_3 9$:
Signup and view all the answers
If $x = \log_{abc}$, $y = \log_{bca}$, $z = \log_{cab}$, then:
If $x = \log_{abc}$, $y = \log_{bca}$, $z = \log_{cab}$, then:
Signup and view all the answers
The number log27 is:
The number log27 is:
Signup and view all the answers
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?
Signup and view all the answers
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?
Signup and view all the answers
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?
Signup and view all the answers
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?
Signup and view all the answers
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?
Signup and view all the answers
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?
Signup and view all the answers
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?
Signup and view all the answers
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?
Signup and view all the answers
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?
Signup and view all the answers
What is the logarithm of to the base 2√2?
What is the logarithm of to the base 2√2?
Signup and view all the answers
If log7 2 = m, then what is log49 28 equal to?
If log7 2 = m, then what is log49 28 equal to?
Signup and view all the answers
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?
Signup and view all the answers
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?
Signup and view all the answers
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?
Signup and view all the answers
