Whakaoti i te e^x+3=12

$$e ^ { x + 3 } = 12$$

Whakaoti mō x

$$x=\ln(12)-3\approx -0.51509335$$

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.

$$e^{x+3}=12$$

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

$$\log(e^{x+3})=\log(12)$$

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

$$\left(x+3\right)\log(e)=\log(12)$$

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

$$x+3=\frac{\log(12)}{\log(e)}$$

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

$$x+3=\log_{e}\left(12\right)$$

Me tango 3 mai i ngā taha e rua o te whārite.

$$x=\ln(12)-3$$

Whakaoti mō x (complex solution)

$$x=\ln(12)-3+2\pi n_{1}i$$

$$n_{1}\in \mathrm{Z}$$