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

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

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

expand

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

\frac{2}{5} ln ∣ 4 w + 1 ∣ + \frac{3}{5} ln ∣ w - 1 ∣

ln (\frac{0.019}{0.005})

(\frac{- x}{x + y}) + (ln (x^{2} + y^{2}) - 2 ln (x))

- lo g_{10} (4.21 \cdot 1 0^{- 5})

- lo g_{10} (3.7 \cdot 1 0^{- 7})

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