NZ Level 7 (NZC) Level 2 (NCEA)
Domain and Range of Logarithmic Functions

## Interactive practice questions

Find the domain of $\log3x$log3x. State your answer as an inequality.

Easy
Approx a minute

Find the domain of $\log\left(\frac{1}{2}x\right)$log(12x). State your answer as an inequality.

Determine the domain of $y=5\log_5x-3$y=5log5x3. State your answer as an inequality.

Find the domain of $\log\left(3x+9\right)$log(3x+9). State your answer as an inequality.

### 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