log10^5*10^-3/10^7= eching

$$\log \frac { 10 ^ { 5 } \times 10 ^ { - 3 } } { 10 ^ { 7 } } =$$

Baholash

$$-5$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va -3 ni qo‘shib, 2 ni oling.

$$\log_{10}\left(\frac{10^{2}}{10^{7}}\right)$$

10^{7} ni 10^{2}\times 10^{5} sifatida qaytadan yozish. Surat va maxrajdagi ikkala 10^{2} ni qisqartiring.

$$\log_{10}\left(\frac{1}{10^{5}}\right)$$

5 daraja ko‘rsatkichini 10 ga hisoblang va 100000 ni qiymatni oling.

$$\log_{10}\left(\frac{1}{100000}\right)$$

Logarifm 10 asosga ko‘ra \frac{1}{100000} -5 ga teng.

$$-5$$

Omil

$$-5$$