What is log_{10}((10000)/(sqrt(x^2+y^2))) ?

The solution to log_{10}((10000)/(sqrt(x^2+y^2))) is 4-log_{10}(sqrt(x^2+y^2))

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simplify log_{10}((10000)/(sqrt(x^2+y^2)))

simplify

lo g_{10} (\frac{10000}{x ^{2} + y ^{2}})

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

Solution steps

lo g_{10} (\frac{10000}{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{10000}{x ^{2} + y ^{2}}) = lo g_{10} (10000) - lo g_{10} (x^{2} + y^{2})

= lo g_{10} (10000) - lo g_{10} (x^{2} + y^{2})

lo g_{10} (10000) = 4

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

lo g_{4} (z) - lo g_{4} (y)

- lo g_{10} (1.5 \cdot 1 0^{- 2})

ln (\frac{x ^{2} y ^{3}}{z ^{5}})

5 ln (10) + 4 - 5 ln (5) + 1

ln (b c)

What is log_{10}((10000)/(sqrt(x^2+y^2))) ?
The solution to log_{10}((10000)/(sqrt(x^2+y^2))) is 4-log_{10}(sqrt(x^2+y^2))