What is log_{10}(x)+1/7 log_{10}(y) ?

The solution to log_{10}(x)+1/7 log_{10}(y) is log_{10}(xy^{1/7})

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simplify log_{10}(x)+1/7 log_{10}(y)

simplify

lo g_{10} (x) + \frac{1}{7} lo g_{10} (y)

lo g_{10} (x y^{\frac{1}{7}})

Solution steps

lo g_{10} (x) + \frac{1}{7} lo g_{10} (y)

Apply log rule:

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

\frac{1}{7} lo g_{10} (y) = lo g_{10} (y^{\frac{1}{7}})

= lo g_{10} (x) + lo g_{10} (y^{\frac{1}{7}})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{10} (x) + lo g_{10} (y^{\frac{1}{7}}) = lo g_{10} (x y^{\frac{1}{7}})

= lo g_{10} (x y^{\frac{1}{7}})

(1 - (2 \cdot 0.93)) \cdot ln (\frac{1 - 0.93}{0.93})

lo g_{e} (\frac{e ^{a + b \cdot x} - f ( x )}{f ( x )})

ln (\frac{y}{x ^{2 n}} \cdot e^{\frac{- m}{x}})

ln (- 2 y d y)

ln (d + w) - ln (d)

What is log_{10}(x)+1/7 log_{10}(y) ?
The solution to log_{10}(x)+1/7 log_{10}(y) is log_{10}(xy^{1/7})