What is log_{10}((3z)/(10)) ?

The solution to log_{10}((3z)/(10)) is log_{10}(3)+log_{10}(z)-1

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simplify log_{10}((3z)/(10))

simplify

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

lo g_{10} (3) + lo g_{10} (z) - 1

Solution steps

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

Apply log rule:

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

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

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

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

lo g_{10} (10) = 1

= lo g_{10} (3) + lo g_{10} (z) - 1

lo g_{9} (\frac{x}{y ^{4} z ^{2}})

ln (11) + 6 ln (x) - 7 ln (y)

lo g_{6} (\frac{x ^{3} y}{2 z ^{7}})

- 0.4 + \frac{0.592}{2} \cdot lo g_{10} (\frac{0.2}{1})

\frac{4}{10} lo g_{2} (\frac{10}{4}) + \frac{6}{10} lo g_{2} (\frac{10}{6})

What is log_{10}((3z)/(10)) ?
The solution to log_{10}((3z)/(10)) is log_{10}(3)+log_{10}(z)-1