What is expand log_{6}(((w^2))/4) ?

The solution to expand log_{6}(((w^2))/4) is 2log_{6}(w)-2log_{6}(2)

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expand log_{6}(((w^2))/4)

expand

lo g_{6} (\frac{( w ^{2} )}{4})

2 lo g_{6} (w) - 2 lo g_{6} (2)

Solution steps

lo g_{6} (\frac{( w ^{2} )}{4})

Apply log rule:

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

lo g_{6} (\frac{( w ^{2} )}{4}) = lo g_{6} ((w^{2})) - lo g_{6} (4)

= lo g_{6} (w^{2}) - lo g_{6} (4)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{6} (w^{2}) = 2 lo g_{6} (w)

= 2 lo g_{6} (w) - lo g_{6} (4)

lo g_{6} (4) = 2 lo g_{6} (2)

= 2 lo g_{6} (w) - 2 lo g_{6} (2)

lo g_{2} (\frac{x ^{2}}{x - 3})

lo g_{2} (\frac{c}{4})

lo g_{2} (\frac{4 x + 1}{5})

\frac{1}{2} ln (x) + 4 ln (y) - 3 ln (z)

lo g_{9} (x^{2} + 13 x + 40) - lo g_{9} (x + 8)

What is expand log_{6}(((w^2))/4) ?
The solution to expand log_{6}(((w^2))/4) is 2log_{6}(w)-2log_{6}(2)