What is log_{10}((sqrt(u^2+4))/(100000)) ?

The solution to log_{10}((sqrt(u^2+4))/(100000)) is log_{10}(sqrt(u^2+4))-5

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simplify log_{10}((sqrt(u^2+4))/(100000))

simplify

lo g_{10} (\frac{u ^{2} + 4}{100000})

lo g_{10} (u^{2} + 4) - 5

Solution steps

lo g_{10} (\frac{u ^{2} + 4}{100000})

Apply log rule:

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

lo g_{10} (\frac{u ^{2} + 4}{100000}) = lo g_{10} (u^{2} + 4) - lo g_{10} (100000)

= lo g_{10} (u^{2} + 4) - lo g_{10} (100000)

lo g_{10} (100000) = 5

= lo g_{10} (u^{2} + 4) - 5

ln (4 e^{- 4 x})

\frac{1}{10} ln (2)

lo g_{5} (2) - lo g_{5} (x) - lo g_{5} (y)

\frac{1}{3} (lo g_{2} (c) + lo g_{2} (d)) - 4 lo g_{2} (e)

lo g_{w} (\frac{9 x}{5})

What is log_{10}((sqrt(u^2+4))/(100000)) ?
The solution to log_{10}((sqrt(u^2+4))/(100000)) is log_{10}(sqrt(u^2+4))-5