3. Logarithmic and Exponential Functions
Standard Level
3.09 Graphs of logarithmic functions
Interactive practice questions
Consider the function $y=\log_4x$y=log4x, the graph of which has been sketched below.
Loading Graph...
a
Complete the following table of values.
| $x$x | $\frac{1}{16}$116 | $\frac{1}{4}$14 | $4$4 | $16$16 | $256$256 |
| $y$y | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |
b
Determine the $x$x-value of the $x$x-intercept of $y=\log_4x$y=log4x.
c
How many $y$y-intercepts does $\log_4x$log4x have?
d
Determine the $x$x value for which $\log_4x=1$log4x=1.
Easy
3min
Consider the two graphs sketched below.
Easy
< 1min
Consider the graphs shown below.
Easy
< 1min
We are going to sketch the graph of $y=\log_2x$y=log2x.
Easy
4min
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