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Questions and Answers
What is the value of 5 log5 36?
What is the value of 5 log5 36?
- 6
- 25
- 7
- 10 (correct)
If 4 log4 x = 81, what is the value of x?
If 4 log4 x = 81, what is the value of x?
- 32
- 64
- 16
- 256 (correct)
Express the equation e^(x+1) = 0.8 in logarithmic form.
Express the equation e^(x+1) = 0.8 in logarithmic form.
- loge 0.8 = x - 1
- loge 0.8 = x + 1 (correct)
- ln 0.8 = x - 1
- ln 0.8 = x + 1
Evaluate eln(3).
Evaluate eln(3).
If e^(0.3x) = t, express this equation in logarithmic form.
If e^(0.3x) = t, express this equation in logarithmic form.
The charge time equation t = -k ln(1 - C/C0) models battery charging. If k is doubled, how does it affect the rate at which the battery charges?
The charge time equation t = -k ln(1 - C/C0) models battery charging. If k is doubled, how does it affect the rate at which the battery charges?
What is the exponential form of the equation ln 7 = x?
What is the exponential form of the equation ln 7 = x?
Evaluate the logarithmic expression log2 1.
Evaluate the logarithmic expression log2 1.
Using the definition of logarithmic function, solve for x in the equation logx 1000 = 3.
Using the definition of logarithmic function, solve for x in the equation logx 1000 = 3.
Evaluate the logarithmic expression log2 32.
Evaluate the logarithmic expression log2 32.
Find the value of x in the equation logx 25 = 2 using the definition of logarithm.
Find the value of x in the equation logx 25 = 2 using the definition of logarithm.
What is the value of $x$ when $\log_x 2 = \frac{1}{2}$?
What is the value of $x$ when $\log_x 2 = \frac{1}{2}$?
Express $4^{-1/2} = 0.5$ in logarithmic form.
Express $4^{-1/2} = 0.5$ in logarithmic form.
If $\log_9 3 = x$, what is the value of x?
If $\log_9 3 = x$, what is the value of x?
Write the equation $63 = 216$ in logarithmic form.
Write the equation $63 = 216$ in logarithmic form.
Evaluate $\log_7 49^2$.
Evaluate $\log_7 49^2$.
Given $\log_a b = c$, what is the value of $a^c$?
Given $\log_a b = c$, what is the value of $a^c$?
