What is expand log_{4}(64sqrt(x)sqrt(y)) ?

The solution to expand log_{4}(64sqrt(x)sqrt(y)) is 3+log_{4}(sqrt(x))+log_{4}(sqrt(y))

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expand log_{4}(64sqrt(x)sqrt(y))

expand

lo g_{4} (64 x y)

3 + lo g_{4} (x) + lo g_{4} (y)

Solution steps

lo g_{4} (64 x y)

Apply log rule:

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

lo g_{4} (64 x y) = lo g_{4} (64) + lo g_{4} (x) + lo g_{4} (y)

= lo g_{4} (64) + lo g_{4} (x) + lo g_{4} (y)

lo g_{4} (64) = 3

= 3 + lo g_{4} (x) + lo g_{4} (y)

ln (sin (θ)) - ln (\frac{sin ( θ )}{3})

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

ln (\frac{e ^{y}}{2})

ln (\frac{1}{a + b \cdot \frac{x}{d} + c \cdot ( \frac{x}{d} ) ^{g}})

ln (a + b) - ln (a^{2} - b^{2}) + 2 ln (c)

What is expand log_{4}(64sqrt(x)sqrt(y)) ?
The solution to expand log_{4}(64sqrt(x)sqrt(y)) is 3+log_{4}(sqrt(x))+log_{4}(sqrt(y))