What is expand log_{10}((x^4)/(y^2)) ?

The solution to expand log_{10}((x^4)/(y^2)) is 4log_{10}(x)-2log_{10}(y)

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expand log_{10}((x^4)/(y^2))

expand

lo g_{10} (\frac{x ^{4}}{y ^{2}})

4 lo g_{10} (x) - 2 lo g_{10} (y)

Solution steps

lo g_{10} (\frac{x ^{4}}{y ^{2}})

Apply log rule:

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

lo g_{10} (\frac{x ^{4}}{y ^{2}}) = lo g_{10} (x^{4}) - lo g_{10} (y^{2})

= lo g_{10} (x^{4}) - lo g_{10} (y^{2})

Apply log rule:

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

lo g_{10} (x^{4}) = 4 lo g_{10} (x)

= 4 lo g_{10} (x) - lo g_{10} (y^{2})

Apply log rule:

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

lo g_{10} (y^{2}) = 2 lo g_{10} (y)

= 4 lo g_{10} (x) - 2 lo g_{10} (y)

ln (4) + 3 ln (3) - ln (12)

\frac{1}{10} \cdot ln (\frac{20}{60})

- lo g_{10} (3.16 \cdot 1 0^{- 6})

ln (\frac{- x}{3})

lo g_{10} (x^{2}) y^{3}

What is expand log_{10}((x^4)/(y^2)) ?
The solution to expand log_{10}((x^4)/(y^2)) is 4log_{10}(x)-2log_{10}(y)