What is log_{10}((6z)/(10)) ?

The solution to log_{10}((6z)/(10)) is log_{10}(3)+log_{10}(z)-log_{10}(5)

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simplify log_{10}((6z)/(10))

simplify

lo g_{10} (\frac{6 z}{10})

lo g_{10} (3) + lo g_{10} (z) - lo g_{10} (5)

Solution steps

lo g_{10} (\frac{6 z}{10})

Cancel

\frac{6 z}{10} : \frac{3 z}{5}

= lo g_{10} (\frac{3 z}{5})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (\frac{3 z}{5}) = lo g_{10} (3 z) - lo g_{10} (5)

= lo g_{10} (3 z) - lo g_{10} (5)

Simplify

lo g_{10} (3 z) : lo g_{10} (3) + lo g_{10} (z)

= lo g_{10} (3) + lo g_{10} (z) - lo g_{10} (5)

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

ln (3) + 4 ln (2)

ln (k \cdot x^{n})

f (x) = lo g_{10} (x^{4}) - lo g_{10} (x^{3})

- lo g_{b} (\frac{1}{2})

What is log_{10}((6z)/(10)) ?
The solution to log_{10}((6z)/(10)) is log_{10}(3)+log_{10}(z)-log_{10}(5)