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

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

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

simplify

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

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})

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

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

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

7 lo g_{b} (x) + 6 lo g_{b} (z)

ln (\frac{3}{2 x ^{2} y})

lo g_{b} (5) + 2 lo g_{b} (4)

2 lo g_{2} (x) + lo g_{2} (5)

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