What is log_{10}((100)/(sqrt(x^2+y^2))) ?

The solution to log_{10}((100)/(sqrt(x^2+y^2))) is 2-log_{10}(sqrt(x^2+y^2))

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simplify log_{10}((100)/(sqrt(x^2+y^2)))

simplify

lo g_{10} (\frac{100}{x ^{2} + y ^{2}})

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

Solution steps

lo g_{10} (\frac{100}{x ^{2} + y ^{2}})

Apply log rule:

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

lo g_{10} (\frac{100}{x ^{2} + y ^{2}}) = lo g_{10} (100) - lo g_{10} (x^{2} + y^{2})

= lo g_{10} (100) - lo g_{10} (x^{2} + y^{2})

lo g_{10} (100) = 2

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

ln (\frac{17}{3})

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

- lo g_{10} (9.9 \cdot 1 0^{- 6})

lo g_{10} (\frac{6 x}{13})

- lo g_{10} (3 \cdot 1 0^{- 10})

What is log_{10}((100)/(sqrt(x^2+y^2))) ?
The solution to log_{10}((100)/(sqrt(x^2+y^2))) is 2-log_{10}(sqrt(x^2+y^2))