Whakaoti i te 2^frac{5{2}-b}=4

$$2 ^ { \frac { 5 } { 2 } - b } = 4$$

Whakaoti mō b

$$b=\frac{1}{2}=0.5$$

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.

$$2^{-b+\frac{5}{2}}=4$$

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

$$\log(2^{-b+\frac{5}{2}})=\log(4)$$

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

$$\left(-b+\frac{5}{2}\right)\log(2)=\log(4)$$

Whakawehea ngā taha e rua ki te \log(2).

$$-b+\frac{5}{2}=\frac{\log(4)}{\log(2)}$$

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

$$-b+\frac{5}{2}=\log_{2}\left(4\right)$$

Me tango \frac{5}{2} mai i ngā taha e rua o te whārite.

$$-b=2-\frac{5}{2}$$

Whakawehea ngā taha e rua ki te -1.

$$b=-\frac{\frac{1}{2}}{-1}$$