What is log_{5}(xyz) ?

The solution to log_{5}(xyz) is log_{5}(x)+log_{5}(y)+log_{5}(z)

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simplify log_{5}(xyz)

simplify

lo g_{5} (x yz)

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

Solution steps

lo g_{5} (x yz)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{5} (x yz) = lo g_{5} (x) + lo g_{5} (y) + lo g_{5} (z)

= lo g_{5} (x) + lo g_{5} (y) + lo g_{5} (z)

ln (2 m^{8})

lo g_{10} (\frac{x}{y ^{3} z ^{2}})

lo g_{10} (\frac{x ^{17} y ^{2}}{z ^{16}})

5 ln (x + y) - 2 ln (y) - 8 ln (x)

2 lo g_{a} (x^{4}) + 4 lo g_{a} ((2 x)^{2})

What is log_{5}(xyz) ?
The solution to log_{5}(xyz) is log_{5}(x)+log_{5}(y)+log_{5}(z)