3.03 Logarithmic functions
Adaptive
Worksheet
Interactive practice questions
Consider the function $y=\log_2x$y=log2x.
a
Complete the table of values for $y=\log_2x$y=log2x.
| $x$x | $\frac{1}{4}$14 | $\frac{1}{2}$12 | $1$1 | $2$2 | $4$4 |
| $y$y | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |
b
The first two points in the table of values are shown below. Plot the other three points on the same coordinate plane.
Loading Graph...
c
Now sketch the function $y=\log_2x$y=log2x by moving the asymptote and the two other points to appropriate positions.
Loading Graph...
Easy
1min
Consider the function $y=\log_3x$y=log3x.
Medium
1min
Consider the function $y=\log_4x$y=log4x.
Medium
1min
Consider the graphs shown below.
Easy
< 1min
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