What is 2log_{2}(x)+log_{2}(y) ?

The solution to 2log_{2}(x)+log_{2}(y) is log_{2}(x^2y)

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simplify 2log_{2}(x)+log_{2}(y)

simplify

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

lo g_{2} (x^{2} y)

Solution steps

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

Apply log rule:

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

2 lo g_{2} (x) = lo g_{2} (x^{2})

= lo g_{2} (x^{2}) + lo g_{2} (y)

Apply log rule:

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

lo g_{2} (x^{2}) + lo g_{2} (y) = lo g_{2} (x^{2} y)

= lo g_{2} (x^{2} y)

\frac{1}{32} ln (x + 2) - \frac{1}{32} ln (x - 2)

lo g_{9} ((\frac{8 ^{5}}{11})^{4})

4 lo g_{5} (x) - 6 lo g_{5} (y)

\frac{d}{d x} (cos (2 ln (x))) + \frac{107}{5 ( x )}

lo g_{15} (\frac{17 - 4 x}{2}) + e^{x^{2} - x - 2}

What is 2log_{2}(x)+log_{2}(y) ?
The solution to 2log_{2}(x)+log_{2}(y) is log_{2}(x^2y)