What is log_{a}(xyz) ?

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

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simplify log_{a}(xyz)

simplify

lo g_{a} (x yz)

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

Solution steps

lo g_{a} (x yz)

Apply log rule:

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

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

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

5 ln ∣ cot (t) ∣ + 5 ln (1 + tan (2) (t))

- lo g_{10} (6.7 \cdot 1 0^{- 4})

ln (2 m^{8})

\frac{1}{11} (lo g_{6} (x) + lo g_{6} (y))

ln (4 x^{2})

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