What is log_{10}(x*y*z^2) ?

The solution to log_{10}(x*y*z^2) is log_{10}(x)+log_{10}(y)+2log_{10}(z)

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simplify log_{10}(xyz^2)

simplify

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

lo g_{10} (x) + lo g_{10} (y) + 2 lo g_{10} (z)

Solution steps

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

Apply log rule:

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

lo g_{10} (x y z^{2}) = lo g_{10} (x) + lo g_{10} (y) + lo g_{10} (z^{2})

= lo g_{10} (x) + lo g_{10} (y) + lo g_{10} (z^{2})

Simplify

lo g_{10} (z^{2}) : 2 lo g_{10} (z)

= lo g_{10} (x) + lo g_{10} (y) + 2 lo g_{10} (z)

lo g_{10} (\frac{y}{x})

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

lo g_{10} (4) + lo g_{10} (p)

lo g_{4} (k^{2} - 16) - lo g_{4} (k) - 4

What is log_{10}(x*y*z^2) ?
The solution to log_{10}(x*y*z^2) is log_{10}(x)+log_{10}(y)+2log_{10}(z)