17 Questions
What is the value of 5 log5 36?
10
If 4 log4 x = 81, what is the value of x?
256
Express the equation e^(x+1) = 0.8 in logarithmic form.
loge 0.8 = x + 1
Evaluate eln(3).
3
If e^(0.3x) = t, express this equation in logarithmic form.
ln t = 0.3x
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 charging rate remains the same
What is the exponential form of the equation ln 7 = x?
e^x = 7
Evaluate the logarithmic expression log2 1.
-1
Using the definition of logarithmic function, solve for x in the equation logx 1000 = 3.
x = 10
Evaluate the logarithmic expression log2 32.
-5
Find the value of x in the equation logx 25 = 2 using the definition of logarithm.
x = 5
What is the value of $x$ when $\log_x 2 = \frac{1}{2}$?
$x = 4$
Express $4^{-1/2} = 0.5$ in logarithmic form.
$\log_4 0.5 = -1/2$
If $\log_9 3 = x$, what is the value of x?
$x = 1/3$
Write the equation $63 = 216$ in logarithmic form.
$\log_{63} 216 = 1$
Evaluate $\log_7 49^2$.
$\log_7 196$
Given $\log_a b = c$, what is the value of $a^c$?
$c$
Test your understanding of logarithmic functions with this quiz. Questions involve finding x using logarithmic functions and expressing equations in logarithmic form.
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