NZ Level 7 (NZC) Level 2 (NCEA)
Logarithm Graph

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

State the equation of the vertical asymptote.

d

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

Easy
Approx 6 minutes

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

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

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

### Outcomes

#### M7-2

Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs

#### 91257

Apply graphical methods in solving problems