What is log_{10}((1000000)/(sqrt(x^2+y^2))) ?

The solution to log_{10}((1000000)/(sqrt(x^2+y^2))) is 6-log_{10}(sqrt(x^2+y^2))

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simplify log_{10}((1000000)/(sqrt(x^2+y^2)))

simplify

lo g_{10} (\frac{1000000}{x ^{2} + y ^{2}})

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

Solution steps

lo g_{10} (\frac{1000000}{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{1000000}{x ^{2} + y ^{2}}) = lo g_{10} (1000000) - lo g_{10} (x^{2} + y^{2})

= lo g_{10} (1000000) - lo g_{10} (x^{2} + y^{2})

lo g_{10} (1000000) = 6

= 6 - lo g_{10} (x^{2} + y^{2})

ln (x^{10} 6 - x)

lo g_{2} (15) + 6 lo g_{2} (x) - \frac{4}{3} lo g_{2} (x)

ln ((sin (2 x))^{2})

lo g_{10} (\frac{y ^{3}}{x})

What is log_{10}((1000000)/(sqrt(x^2+y^2))) ?
The solution to log_{10}((1000000)/(sqrt(x^2+y^2))) is 6-log_{10}(sqrt(x^2+y^2))