What is log_{10}(x/(y^6)) ?

The solution to log_{10}(x/(y^6)) is log_{10}(x)-6log_{10}(y)

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simplify log_{10}(x/(y^6))

simplify

lo g_{10} (\frac{x}{y ^{6}})

lo g_{10} (x) - 6 lo g_{10} (y)

Solution steps

lo g_{10} (\frac{x}{y ^{6}})

Apply log rule:

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

lo g_{10} (\frac{x}{y ^{6}}) = lo g_{10} (x) - lo g_{10} (y^{6})

= lo g_{10} (x) - lo g_{10} (y^{6})

Simplify

lo g_{10} (y^{6}) : 6 lo g_{10} (y)

= lo g_{10} (x) - 6 lo g_{10} (y)

4 lo g_{10} (x) - lo g_{10} (x + 11)

lo g_{10} (\frac{x y ^{4}}{z ^{3}})

- lo g_{10} (\frac{1}{x})

f (x) = 2 ln (x + 2) - ln (x + 2) - ln (2) - 3

lo g_{3} (\frac{9}{x + 4})

What is log_{10}(x/(y^6)) ?
The solution to log_{10}(x/(y^6)) is log_{10}(x)-6log_{10}(y)