What is expand log_{6}((2x)/y) ?

The solution to expand log_{6}((2x)/y) is log_{6}(2)+log_{6}(x)-log_{6}(y)

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expand log_{6}((2x)/y)

expand

lo g_{6} (\frac{2 x}{y})

lo g_{6} (2) + lo g_{6} (x) - lo g_{6} (y)

Solution steps

lo g_{6} (\frac{2 x}{y})

Apply log rule:

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

lo g_{6} (\frac{2 x}{y}) = lo g_{6} (2 x) - lo g_{6} (y)

= lo g_{6} (2 x) - lo g_{6} (y)

Apply log rule:

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

lo g_{6} (2 x) = lo g_{6} (2) + lo g_{6} (x)

= lo g_{6} (2) + lo g_{6} (x) - lo g_{6} (y)

ln (x) + 2 ln (1 + \frac{y}{x})

1.5 - [lo g_{9} (t) + 3 lo g_{9} (p)]

ln ((5 e)^{9}) - ln ((6 e)^{8})

lo g_{10} (\frac{4 π}{23})

ln (379 e^{2 x + 3} e^{y + 5})

What is expand log_{6}((2x)/y) ?
The solution to expand log_{6}((2x)/y) is log_{6}(2)+log_{6}(x)-log_{6}(y)