Issolvi 10(10^-5)-log_{10}(1000)*log_{10}(5^2*4)

$$10 ( 10 ^ { - 5 } ) - \log _ { 10 } ( 1000 ) * \log _ { 10 } ( 5 ^ { 2 } * 4 )$$

Evalwa

$$-\frac{59999}{10000}=-5.9999$$

Passi tas-Soluzzjonijiet

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 1 u -5 biex tikseb -4.

$$10^{-4}-\log_{10}\left(1000\right)\log_{10}\left(5^{2}\times 4\right)$$

Ikkalkula 10 bil-power ta' -4 u tikseb \frac{1}{10000}.

$$\frac{1}{10000}-\log_{10}\left(1000\right)\log_{10}\left(5^{2}\times 4\right)$$

Il-logaritmu 10 tal-bażi ta' 1000 huwa 3.

$$\frac{1}{10000}-3\log_{10}\left(5^{2}\times 4\right)$$

Ikkalkula 5 bil-power ta' 2 u tikseb 25.

$$\frac{1}{10000}-3\log_{10}\left(25\times 4\right)$$

Immultiplika 25 u 4 biex tikseb 100.

$$\frac{1}{10000}-3\log_{10}\left(100\right)$$

Il-logaritmu 10 tal-bażi ta' 100 huwa 2.

$$\frac{1}{10000}-3\times 2$$

Immultiplika 3 u 2 biex tikseb 6.

$$\frac{1}{10000}-6$$

Naqqas 6 minn \frac{1}{10000} biex tikseb -\frac{59999}{10000}.

$$-\frac{59999}{10000}$$

Fattur

$$-\frac{59999}{10000} = -5\frac{9999}{10000} = -5.9999$$