Whakaoti i te operatorname{lan}15^circ=200/x

$$\operatorname { lan } 15 ^ { \circ } = \frac { 200 } { x }$$

Whakaoti mō a

$$a=\frac{200}{ln_{15}x}$$

$$x\neq 0\text{ and }n_{15}\neq 0\text{ and }l\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te x.

$$lan_{15}x=200$$

He hanga arowhānui tō te whārite.

$$ln_{15}xa=200$$

Whakawehea ngā taha e rua ki te ln_{15}x.

$$\frac{ln_{15}xa}{ln_{15}x}=\frac{200}{ln_{15}x}$$

Mā te whakawehe ki te ln_{15}x ka wetekia te whakareanga ki te ln_{15}x.

$$a=\frac{200}{ln_{15}x}$$

Whakaoti mō l

$$l=\frac{200}{an_{15}x}$$

$$x\neq 0\text{ and }n_{15}\neq 0\text{ and }a\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te x.

$$lan_{15}x=200$$

He hanga arowhānui tō te whārite.

$$an_{15}xl=200$$

Whakawehea ngā taha e rua ki te an_{15}x.

$$\frac{an_{15}xl}{an_{15}x}=\frac{200}{an_{15}x}$$

Mā te whakawehe ki te an_{15}x ka wetekia te whakareanga ki te an_{15}x.

$$l=\frac{200}{an_{15}x}$$