Riješi 1/3log(x)-3log(x+1)

$$\frac { 1 } { 3 } \log ( x ) - 3 \log ( x + 1 )$$

Faktor

$$\frac{\log_{10}\left(e\right)\left(-9\ln(x+1)+\ln(x)\right)}{3}$$

Koraci za rješenje

Izbacite \frac{1}{3}.

$$\frac{\log_{10}\left(x\right)-9\log_{10}\left(x+1\right)}{3}$$

Razmotrite \ln(x)\times \frac{1}{\ln(10)}-9\ln(x+1)\times \frac{1}{\ln(10)}. Izbacite \frac{1}{\ln(10)}.

$$\frac{\ln(x)-9\ln(x+1)}{\ln(10)}$$

Ponovo napišite cijeli faktorirani izraz.

$$\frac{\ln(x)-9\ln(x+1)}{3\ln(10)}$$

Procijeni

$$\frac{\log(e)\left(-9\ln(x+1)+\ln(x)\right)}{3}$$