What is expand log_{2}((5x)/y) ?

The solution to expand log_{2}((5x)/y) is log_{2}(5)+log_{2}(x)-log_{2}(y)

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expand log_{2}((5x)/y)

expand

lo g_{2} (\frac{5 x}{y})

lo g_{2} (5) + lo g_{2} (x) - lo g_{2} (y)

Solution steps

lo g_{2} (\frac{5 x}{y})

Apply log rule:

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

lo g_{2} (\frac{5 x}{y}) = lo g_{2} (5 x) - lo g_{2} (y)

= lo g_{2} (5 x) - lo g_{2} (y)

Apply log rule:

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

lo g_{2} (5 x) = lo g_{2} (5) + lo g_{2} (x)

= lo g_{2} (5) + lo g_{2} (x) - lo g_{2} (y)

x^{2} - 2 ln (8 x)

lo g_{4} (16 (x^{2} - 4))

lo g_{3} (\frac{1}{9} m n^{2})

ln (\frac{x ^{4} y}{7})

lo g_{10} (\frac{x ^{4} + y}{1000})

What is expand log_{2}((5x)/y) ?
The solution to expand log_{2}((5x)/y) is log_{2}(5)+log_{2}(x)-log_{2}(y)