Whakaoti i te e^-0.0174z=0.5

$${ e }^{ -0.0174z } =0.5$$

Whakaoti mō z

$$z=\frac{5000\ln(2)}{87}\approx 39.83604486$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Taupū Kōaro

Whakamahia ngā ture taupū me ngā taupū kōaro hei whakaoti i te whārite.

$$e^{-0.0174z}=0.5$$

Tuhia te tau taupū kōaro o ngā taha e rua o te whārite.

$$\log(e^{-0.0174z})=\log(0.5)$$

Ko te taupū kōaro o tētahi tau ka hīkina ki tētahi pū ko te pū whakarea ki te taupū kōaro o taua tau.

$$-0.0174z\log(e)=\log(0.5)$$

Whakawehea ngā taha e rua ki te \log(e).

$$-0.0174z=\frac{\log(0.5)}{\log(e)}$$

Mā te tikanga tātai huri pūtake \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).

$$-0.0174z=\log_{e}\left(0.5\right)$$

Whakawehea ngā taha e rua o te whārite ki te -0.0174, he ōrite ki te whakarea i ngā taha e rua ki te tau huripoki o te hautanga.

$$z=-\frac{\ln(2)}{-0.0174}$$