# Write a single logarithm. 2ln x+1/3ln(x-5)

Write a single logarithm. $2\mathrm{ln}x+\frac{1}{3}\mathrm{ln}\left(x-5\right)$
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toroztatG
1) $\mathrm{log}5xy2=\mathrm{log}5x+\mathrm{log}5y2=\mathrm{log}5x+2\mathrm{log}5y$
2) $\mathrm{log}7\left(x\frac{y}{z}2\right)=\mathrm{log}7x+\mathrm{log}7y-2\mathrm{log}7z$
Express each as a single log.
1) $\mathrm{log}x+\mathrm{log}y-\mathrm{log}z=\frac{\mathrm{log}\left(xy\right)}{z}$
2) $2\mathrm{ln}x+3\mathrm{ln}y=\mathrm{ln}x2y3$