Lutasin ang 2log(x^2+1)+2log(x^2+2)

$$2 \log ( x ^ { 2 } + 1 ) + 2 \log ( x ^ { 2 } + 2 )$$

I-factor

$$2\log_{10}\left(e\right)\left(\ln(x^{2}+1)+\ln(x^{2}+2)\right)$$

Mga Hakbang ng Solution

I-factor out ang 2.

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

Isaalang-alang ang \ln(x^{2}+1)\times \frac{1}{\ln(10)}+\ln(x^{2}+2)\times \frac{1}{\ln(10)}. I-factor out ang \frac{1}{\ln(10)}.

$$\frac{\ln(x^{2}+1)+\ln(x^{2}+2)}{\ln(10)}$$

I-rewrite ang kumpletong naka-factor na expression.

$$\frac{2\left(\ln(x^{2}+1)+\ln(x^{2}+2)\right)}{\ln(10)}$$

I-evaluate

$$2\log(e)\left(\ln(x^{2}+1)+\ln(x^{2}+2)\right)$$