What is simplify-log_{10}(x)+1/2 log_{10}(y)+1 ?

The solution to simplify-log_{10}(x)+1/2 log_{10}(y)+1 is log_{10}((y^{1/2})/x)+1

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simplify-log_{10}(x)+1/2 log_{10}(y)+1

simplify

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

lo g_{10} (\frac{y ^{\frac{1}{2}}}{x}) + 1

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

\frac{1}{2} lo g_{10} (y) = lo g_{10} (y^{\frac{1}{2}})

= - lo g_{10} (x) + lo g_{10} (y^{\frac{1}{2}}) + 1

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

lo g_{10} (y^{\frac{1}{2}}) - lo g_{10} (x) = lo g_{10} (\frac{y ^{\frac{1}{2}}}{x})

= lo g_{10} (\frac{y ^{\frac{1}{2}}}{x}) + 1

ln (\frac{5 g ^{- 1}}{w})

- lo g_{10} (3.55 \cdot 1 0^{- 32})

(ln (b + 2 a) - ln (a)) k - (a + 2 b) (a + b)

8 ln (x + 6) - 5 ln (x)

- lo g_{10} (2.17 \cdot 1 0^{- 6})

What is simplify-log_{10}(x)+1/2 log_{10}(y)+1 ?
The solution to simplify-log_{10}(x)+1/2 log_{10}(y)+1 is log_{10}((y^{1/2})/x)+1