## Simplify expressions: simplify log(2)Y + log(2)Z

Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc.
isabelrachel
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Joined: Tue Jun 02, 2009 2:41 pm
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### Simplify expressions: simplify log(2)Y + log(2)Z

I need to simplfy an expression similar to this one. But iam confused on this. Anyone that is willing to help me with this problem is greatly appreciated.

V/r
Isabel

c. log(2)Y + log(2)Z

stapel_eliz
Posts: 1733
Joined: Mon Dec 08, 2008 4:22 pm
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To learn how log rules work, try here. The lesson has explanations and worked examples, but the short version is:

. . . . .$\log_b(x)\, +\, \log_b(y)\, =\, \log_b(xy)$

. . . . .$\log_b(x)\, -\, \log_b(y)\, =\, \log_b\left(\frac{x}{y}\right)$

. . . . .$\log_b(x^m)\, =\, m\,\log_b(x)$