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jarptica [38.1K]
3 years ago
10

Expand logarithmic expression

Mathematics
2 answers:
belka [17]3 years ago
5 0
3log(x^5 y^-2 z) =
3 (5logx - 2logy + logz) =
15logx - 6logy + 3logz
Sindrei [870]3 years ago
4 0

\log{\sqrt[3]{\frac{x^{5}z}{y^{2}}}


\log({\frac{x^{5}z}{y^{2}})^{\frac{1}{3}}

\frac{1}{3}\log\frac{x^{5}z}{y^{2}}

\frac{1}{3}(\log(x^{5}z)-2\log(y))

\frac{1}{3}(5\log(x)+\log(z)-2\log(y))

\frac{5}{3}\log(x)+\frac{1}{3}\log(z)-\frac{2}{3}\log(y)

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