What is expand log_{10}((17sqrt(x))/y) ?

The solution to expand log_{10}((17sqrt(x))/y) is log_{10}(17)+log_{10}(sqrt(x))-log_{10}(y)

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expand log_{10}((17sqrt(x))/y)

expand

lo g_{10} (\frac{17 x}{y})

lo g_{10} (17) + lo g_{10} (x) - lo g_{10} (y)

Solution steps

lo g_{10} (\frac{17 x}{y})

Apply log rule:

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

lo g_{10} (\frac{17 x}{y}) = lo g_{10} (17 x) - lo g_{10} (y)

= lo g_{10} (17 x) - lo g_{10} (y)

Apply log rule:

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

lo g_{10} (17 x) = lo g_{10} (17) + lo g_{10} (x)

= lo g_{10} (17) + lo g_{10} (x) - lo g_{10} (y)

ln (3 x^{5} y)

\frac{1}{5} x^{5} (3 ln (2) + 2 ln (x))

ln (\frac{393}{373})

\frac{1}{2} ln ∣ 2 (10) + 1 ∣ + 2 ln ∣ 10 - 1 ∣

0.0591 \cdot ln (\frac{0.001}{0.1})

What is expand log_{10}((17sqrt(x))/y) ?
The solution to expand log_{10}((17sqrt(x))/y) is log_{10}(17)+log_{10}(sqrt(x))-log_{10}(y)