What is log_{5}(x)+3log_{5}(y) ?

The solution to log_{5}(x)+3log_{5}(y) is log_{5}(xy^3)

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simplify log_{5}(x)+3log_{5}(y)

simplify

lo g_{5} (x) + 3 lo g_{5} (y)

lo g_{5} (x y^{3})

Solution steps

lo g_{5} (x) + 3 lo g_{5} (y)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

3 lo g_{5} (y) = lo g_{5} (y^{3})

= lo g_{5} (x) + lo g_{5} (y^{3})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{5} (x) + lo g_{5} (y^{3}) = lo g_{5} (x y^{3})

= lo g_{5} (x y^{3})

lo g_{10} (\frac{x ^{3}}{7})

ln (\frac{y - 2}{y + 2})

ln (x^{5}) - ln (x^{2})

4 lo g_{m} (w - 7) - 6 lo g_{m} (w + 7)

ln (\frac{5}{12 x})

What is log_{5}(x)+3log_{5}(y) ?
The solution to log_{5}(x)+3log_{5}(y) is log_{5}(xy^3)