What is expand log_{10}(x/(y^3)) ?

The solution to expand log_{10}(x/(y^3)) is log_{10}(x)-3log_{10}(y)

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expand log_{10}(x/(y^3))

expand

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

lo g_{10} (x) - 3 lo g_{10} (y)

Solution steps

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

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{10} (\frac{x}{y ^{3}}) = lo g_{10} (x) - lo g_{10} (y^{3})

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

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

= lo g_{10} (x) - 3 lo g_{10} (y)

ln (\frac{1}{0.1})

3 ln (2) - 2 ln (x) + ln (y)

lo g_{10} (\frac{a b ^{2} c}{4})

lo g_{8} (3 x y)

\frac{2 ln ( ( x - 10 ) ^{3} )}{3} - ln (x (x - 10))

What is expand log_{10}(x/(y^3)) ?
The solution to expand log_{10}(x/(y^3)) is log_{10}(x)-3log_{10}(y)