## anonymous 5 years ago can some one help me condense this logarithm step by step?

1. anonymous

$3\log_{3} 15+2\log_{3} x-\log_{3} 25$

2. anonymous

Log Law$n \log_{b} (a) = \log_{b} (a^n)$

3. anonymous

law*

4. anonymous

so using this own expression becomes :$\log_{3} (15^3) + \log_{3} (x^2) - \log_{3} 25$

5. anonymous

now other log laws $\log_{a} (x) + \log_{a} (y) = \log_{a} (xy)$ and $\log_{a} (x) - \log_{a} (y) = \log_{a} (\frac{x}{y})$

6. anonymous

so answer = $\log_{3} ( \frac{ 15^3x^2} {25})$ and you could simplify if you wanted