What is log_{10}((z^3)/(100)) ?

The solution to log_{10}((z^3)/(100)) is 3log_{10}(z)-2

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simplify log_{10}((z^3)/(100))

simplify

lo g_{10} (\frac{z ^{3}}{100})

3 lo g_{10} (z) - 2

Solution steps

lo g_{10} (\frac{z ^{3}}{100})

Apply log rule:

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

lo g_{10} (\frac{z ^{3}}{100}) = lo g_{10} (z^{3}) - lo g_{10} (100)

= lo g_{10} (z^{3}) - lo g_{10} (100)

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

lo g_{10} (100) = 2

= 3 lo g_{10} (z) - 2

ln (\frac{x}{yz})

ln (\frac{e ^{4}}{7})

lo g_{10} (\frac{5 b}{10})

lo g_{7} (6 (y + 4))

lo g_{4} (11 b^{2} c)

What is log_{10}((z^3)/(100)) ?
The solution to log_{10}((z^3)/(100)) is 3log_{10}(z)-2