$$2\ \log_{a}x-\frac{1}{3}\log_{a}y+5\ \log_{a}z$$
$\frac{6\ln(x)+15\ln(z)-\ln(y)}{3\ln(a)}$
$$\frac{6\log_{a}\left(x\right)-\log_{a}\left(y\right)+15\log_{a}\left(z\right)}{3}$$
$$\frac{6\ln(x)-\ln(y)+15\ln(z)}{\ln(a)}$$
$$\frac{6\ln(x)-\ln(y)+15\ln(z)}{3\ln(a)}$$
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