(log_{4}1/2-log_{4}1/16)^3 eching

$$( \log _ { 4 } \frac { 1 } { 2 } - \log _ { 4 } \frac { 1 } { 16 } ) ^ { 3 }$$

Baholash

$$\frac{27}{8}=3,375$$

Yechim qadamlari

Logarifm 4 asosga ko‘ra \frac{1}{2} -\frac{1}{2} ga teng.

$$\left(-\frac{1}{2}-\log_{4}\left(\frac{1}{16}\right)\right)^{3}$$

Logarifm 4 asosga ko‘ra \frac{1}{16} -2 ga teng.

$$\left(-\frac{1}{2}-\left(-2\right)\right)^{3}$$

-2 ning teskarisi 2 ga teng.

$$\left(-\frac{1}{2}+2\right)^{3}$$

\frac{3}{2} olish uchun -\frac{1}{2} va 2'ni qo'shing.

$$\left(\frac{3}{2}\right)^{3}$$

3 daraja ko‘rsatkichini \frac{3}{2} ga hisoblang va \frac{27}{8} ni qiymatni oling.

$$\frac{27}{8}$$

Omil

$$\frac{3 ^ {3}}{2 ^ {3}} = 3\frac{3}{8} = 3,375$$