New Zealand
Level 7 - NCEA Level 2

# Log Laws, Log Properties with Natural Logs

## Interactive practice questions

Which of the following expressions is equivalent to $\ln\left(\frac{15}{8}\right)$ln(158)?

$\ln\left(15-8\right)$ln(158)

A

$\ln15-\ln8$ln15ln8

B

$\frac{\ln15}{\ln8}$ln15ln8

C

$\ln120$ln120

D

$\ln\left(15-8\right)$ln(158)

A

$\ln15-\ln8$ln15ln8

B

$\frac{\ln15}{\ln8}$ln15ln8

C

$\ln120$ln120

D
Easy
Less than a minute

Rewrite $\ln3+\ln5$ln3+ln5 as a single logarithm.

Rewrite each of the following expressions as single logarithms.

### Outcomes

#### M7-6

Manipulate rational, exponential, and logarithmic algebraic expressions

#### 91261

Apply algebraic methods in solving problems