What is log_{10}(1/(sqrt(x))) ?

The solution to log_{10}(1/(sqrt(x))) is -log_{10}(sqrt(x))

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simplify log_{10}(1/(sqrt(x)))

simplify

lo g_{10} (\frac{1}{x})

- lo g_{10} (x)

Solution steps

lo g_{10} (\frac{1}{x})

Simplify

\frac{1}{x} : (x)^{- 1}

= lo g_{10} ((x)^{- 1})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), assuming x > 0

lo g_{10} ((x)^{- 1}) = - 1 \cdot lo g_{10} (x)

= - 1 \cdot lo g_{10} (x)

Apply rule:

1 \cdot a = a

= - lo g_{10} (x)

lo g_{10} (61 v w)

- lo g_{10} (\frac{9}{1000018})

- \frac{2}{3} lo g_{5} (4 m^{2}) + \frac{1}{2} lo g_{5} (16 m^{2})

ln (\frac{6.1}{9})

lo g_{10} (\frac{15}{4}) + lo g_{10} (\frac{400000}{15})

What is log_{10}(1/(sqrt(x))) ?
The solution to log_{10}(1/(sqrt(x))) is -log_{10}(sqrt(x))