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

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

Baholash

$$\frac{15}{2}=7,5$$

Yechim qadamlari

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

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

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

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

3 daraja ko‘rsatkichini -2 ga hisoblang va -8 ni qiymatni oling.

$$-\frac{1}{2}-\left(-8\right)$$

-8 ning teskarisi 8 ga teng.

$$-\frac{1}{2}+8$$

\frac{15}{2} olish uchun -\frac{1}{2} va 8'ni qo'shing.

$$\frac{15}{2}$$

Omil

$$\frac{3 \cdot 5}{2} = 7\frac{1}{2} = 7,5$$