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Grade 12

Graph logarithms

Interactive practice questions

Consider the function $y=3\log_2x$y=3log2x.

a

Solve for the $x$x-coordinate of the $x$x-intercept.

b

Complete the table of values for $y=3\log_2x$y=3log2x.

$x$x $\frac{1}{2}$12 $1$1 $2$2 $4$4
$y$y $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
c

State the equation of the vertical asymptote.

d

Sketch the graph of $y=3\log_2x$y=3log2x.

Loading Graph...
Easy
5min

Consider the function $y=-\log_3x$y=log3x.

Easy
3min

Consider the function $y=\log_3x-1$y=log3x1.

Easy
4min

Consider the function $y=-3\log_5x$y=3log5x.

Easy
3min
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Outcomes

12F.A.2.3

Determine, through investigation using technology, the roles of the parameters d and c in functions of the form y = log_10(x – d) + c and the roles of the parameters a and k in functions of the form y = alog_10(kx), and describe these roles in terms of transformations on the graph of f(x)=log_10(x)

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