What is log_{10}(x/(y^5)) ?

The solution to log_{10}(x/(y^5)) is log_{10}(x)-5log_{10}(y)

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simplify log_{10}(x/(y^5))

simplify

lo g_{10} (\frac{x}{y ^{5}})

lo g_{10} (x) - 5 lo g_{10} (y)

Solution steps

lo g_{10} (\frac{x}{y ^{5}})

Apply log rule:

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

lo g_{10} (\frac{x}{y ^{5}}) = lo g_{10} (x) - lo g_{10} (y^{5})

= lo g_{10} (x) - lo g_{10} (y^{5})

Simplify

lo g_{10} (y^{5}) : 5 lo g_{10} (y)

= lo g_{10} (x) - 5 lo g_{10} (y)

lo g_{4} (x^{2} - 64) - 4 lo g_{4} (x + 8)

ln (\frac{z}{x y})

lo g_{3} (\frac{100}{27 x})

lo g_{5} (\frac{x}{125})

lo g_{10} (2 x + 1) - lo g_{10} (x)

What is log_{10}(x/(y^5)) ?
The solution to log_{10}(x/(y^5)) is log_{10}(x)-5log_{10}(y)