What is log_{2}(x^2sqrt(y)) ?

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

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simplify log_{2}(x^2sqrt(y))

simplify

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

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

Solution steps

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

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

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

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

Simplify

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

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

lo g_{4} (5 x y)

lo g_{10} (125) - lo g_{10} (8)

ln (x^{6} 5 - x)

ln (\frac{( x ^{2} - 1 )}{x ^{9}})

lo g_{9} (\frac{3 x ^{3}}{y})

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