What is log_{10}((1000)/(sqrt(p^2+9))) ?

The solution to log_{10}((1000)/(sqrt(p^2+9))) is 3-log_{10}(sqrt(p^2+9))

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simplify log_{10}((1000)/(sqrt(p^2+9)))

simplify

lo g_{10} (\frac{1000}{p ^{2} + 9})

3 - lo g_{10} (p^{2} + 9)

Solution steps

lo g_{10} (\frac{1000}{p ^{2} + 9})

Apply log rule:

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

lo g_{10} (\frac{1000}{p ^{2} + 9}) = lo g_{10} (1000) - lo g_{10} (p^{2} + 9)

= lo g_{10} (1000) - lo g_{10} (p^{2} + 9)

lo g_{10} (1000) = 3

= 3 - lo g_{10} (p^{2} + 9)

2 ln (x) - ln (x - y) + 2 ln (y)

8.1 + lo g_{10} (\frac{0.11 + 0.03}{0.18 - 0.03})

ln (\frac{1}{x} y^{\frac{( 1 - x )}{x}})

lo g_{10} (x) + lo g_{10} (2 x - 1)

lo g_{8} (\frac{w ^{3}}{v})

What is log_{10}((1000)/(sqrt(p^2+9))) ?
The solution to log_{10}((1000)/(sqrt(p^2+9))) is 3-log_{10}(sqrt(p^2+9))