Question

can some one help me condense this logarithm step by step?

Answer 1

\[3\log_{3} 15+2\log_{3} x-\log_{3} 25\]

Answer 2

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

Answer 3

law*

Answer 4

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

Answer 5

now other log laws

\[ \log_{a} (x) + \log_{a} (y) = \log_{a} (xy)\]

and

\[\log_{a} (x) - \log_{a} (y) = \log_{a} (\frac{x}{y}) \]

Answer 6

so answer = \[\log_{3} ( \frac{ 15^3x^2} {25})\]

and you could simplify if you wanted