cmackenzie415 cmackenzie415
  • 26-05-2017
  • Mathematics
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How can I express logbx-(logby+logbz) as a single log?

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jdoe0001 jdoe0001
  • 26-05-2017
[tex]\bf log_{{ a}}(xy)\implies log_{{ a}}(x)+log_{{ a}}(y) \\ \quad \\ % Logarithm of rationals log_{{ a}}\left( \frac{x}{y}\right)\implies log_{{ a}}(x)-log_{{ a}}(y)\\\\ -----------------------------\\\\ log_b(x)-[log_b(y)+log_b(z)]\implies log_b(x)-[log_b(yz)] \\\\\\ log_b\left( \cfrac{x}{yz} \right)[/tex]
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