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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

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

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

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

lo g_{10} (2) - lo g_{10} (5)

lo g_{10} (\frac{ab}{c d})

lo g_{2} (x^{2}) + lo g_{2} (x^{3})

lo g_{2} (8 a)

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

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