lilysgirl2007
lilysgirl2007 lilysgirl2007
  • 24-02-2017
  • Mathematics
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write as a single logarithm with coefficient 1

write as a single logarithm with coefficient 1 class=

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jdoe0001 jdoe0001
  • 24-02-2017
[tex]\bf \boxed{2} log_2(x)+\boxed{\frac{1}{3}} log_2(y)-\boxed{3} log_2(z) \\\\\\ \underline{log_2\left( x^{\boxed{2}} \right)+log_2\left( y^{\boxed{\frac{1}{3}}} \right)}-log_2\left( z^{\boxed{3}} \right) \\ \qquad \downarrow \\\\ {log_2\left( x^2y^{\frac{1}{3}} \right)-log_2\left( z^3 \right)}\\ \qquad \downarrow \\\\ log_2\left( \cfrac{x^2y^{\frac{1}{3}}}{z^3} \right)[/tex]
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