What is log_{10}((10)/(sqrt(a^2+b^2))) ?

The solution to log_{10}((10)/(sqrt(a^2+b^2))) is 1-log_{10}(sqrt(a^2+b^2))

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simplify log_{10}((10)/(sqrt(a^2+b^2)))

simplify

lo g_{10} (\frac{10}{a ^{2} + b ^{2}})

1 - lo g_{10} (a^{2} + b^{2})

Solution steps

lo g_{10} (\frac{10}{a ^{2} + b ^{2}})

Apply log rule:

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

lo g_{10} (\frac{10}{a ^{2} + b ^{2}}) = lo g_{10} (10) - lo g_{10} (a^{2} + b^{2})

= lo g_{10} (10) - lo g_{10} (a^{2} + b^{2})

lo g_{10} (10) = 1

= 1 - lo g_{10} (a^{2} + b^{2})

5 lo g_{2} (x) + \frac{3}{4} lo g_{2} (y) - lo g_{2} (z)

5 lo g_{10} (x) - 8 lo g_{10} (x + 1)

lo g_{4} (\frac{16}{x + 3})

\frac{2}{5} lo g_{10} (x) - lo g_{10} (y)

What is log_{10}((10)/(sqrt(a^2+b^2))) ?
The solution to log_{10}((10)/(sqrt(a^2+b^2))) is 1-log_{10}(sqrt(a^2+b^2))