Lutasin ang ln3+1/2lnx+lny-1/3lnz

$$\ln 3 + \frac { 1 } { 2 } \ln x + \ln y - \frac { 1 } { 3 } \ln z$$

I-factor

$$\frac{3\ln(x)+6\ln(y)-2\ln(z)+6\ln(3)}{6}$$

Mga Hakbang ng Solution

I-factor out ang \frac{1}{6}.

$$\frac{6\log_{e}\left(3\right)+3\log_{e}\left(x\right)+6\log_{e}\left(y\right)-2\log_{e}\left(z\right)}{6}$$

Isaalang-alang ang 6\ln(3)\times \frac{1}{\ln(e)}+3\ln(x)\times \frac{1}{\ln(e)}+6\ln(y)\times \frac{1}{\ln(e)}-2\ln(z)\times \frac{1}{\ln(e)}. I-factor out ang \frac{1}{\ln(e)}.

$$\frac{6\ln(3)+3\ln(x)+6\ln(y)-2\ln(z)}{\ln(e)}$$

I-rewrite ang kumpletong naka-factor na expression.

$$\frac{6\ln(3)+3\ln(x)+6\ln(y)-2\ln(z)}{6\ln(e)}$$

I-evaluate

$$\frac{\ln(x)}{2}-\frac{\ln(z)}{3}+\ln(y)+\ln(3)$$