Lutasin ang 1/3log(x)-3log(x+1)

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

I-factor

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

Mga Hakbang ng Solution

I-factor out ang \frac{1}{3}.

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

Isaalang-alang ang \ln(x)\times \frac{1}{\ln(10)}-9\ln(x+1)\times \frac{1}{\ln(10)}. I-factor out ang \frac{1}{\ln(10)}.

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

I-rewrite ang kumpletong naka-factor na expression.

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

I-evaluate

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