log_{10}(10^-5/10)+log_{10}(10)-log_{10}(10^2)= eching

$$\log _ { 10 } ( \frac { 10 ^ { - 5 } } { 10 } ) + \log _ { 10 } ( 10 ) - \log _ { 10 } ( 10 ^ { 2 } ) =$$

Baholash

$$-7$$

Yechim qadamlari

10 ni 10^{-5}\times 10^{6} sifatida qaytadan yozish. Surat va maxrajdagi ikkala 10^{-5} ni qisqartiring.

$$\log_{10}\left(\frac{1}{10^{6}}\right)+\log_{10}\left(10\right)-\log_{10}\left(10^{2}\right)$$

6 daraja ko‘rsatkichini 10 ga hisoblang va 1000000 ni qiymatni oling.

$$\log_{10}\left(\frac{1}{1000000}\right)+\log_{10}\left(10\right)-\log_{10}\left(10^{2}\right)$$

Logarifm 10 asosga ko‘ra \frac{1}{1000000} -6 ga teng.

$$-6+\log_{10}\left(10\right)-\log_{10}\left(10^{2}\right)$$

Logarifm 10 asosga ko‘ra 10 1 ga teng.

$$-6+1-\log_{10}\left(10^{2}\right)$$

-5 olish uchun -6 va 1'ni qo'shing.

$$-5-\log_{10}\left(10^{2}\right)$$

2 daraja ko‘rsatkichini 10 ga hisoblang va 100 ni qiymatni oling.

$$-5-\log_{10}\left(100\right)$$

Logarifm 10 asosga ko‘ra 100 2 ga teng.

$$-5-2$$

-7 olish uchun -5 dan 2 ni ayirish.

$$-7$$

Omil

$$-7$$