(log_{5}125-log_{2}128)*log_{1/3}81= eching

$$( \log _ { 5 } 125 - \log _ { 2 } 128 ) \cdot \log _ { \frac { 1 } { 3 } } 81 =$$

Baholash

$$16$$

Yechim qadamlari

Logarifm 5 asosga ko‘ra 125 3 ga teng.

$$\left(3-\log_{2}\left(128\right)\right)\log_{\frac{1}{3}}\left(81\right)$$

Logarifm 2 asosga ko‘ra 128 7 ga teng.

$$\left(3-7\right)\log_{\frac{1}{3}}\left(81\right)$$

-4 olish uchun 3 dan 7 ni ayirish.

$$-4\log_{\frac{1}{3}}\left(81\right)$$

Logarifm \frac{1}{3} asosga ko‘ra 81 -4 ga teng.

$$-4\left(-4\right)$$

16 hosil qilish uchun -4 va -4 ni ko'paytirish.

$$16$$

Omil

$$2^{4}$$