What is expand log_{8}(sqrt(xy)) ?

The solution to expand log_{8}(sqrt(xy)) is 1/2 log_{8}(xy)

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expand log_{8}(sqrt(xy))

expand

lo g_{8} (x y)

\frac{1}{2} lo g_{8} (x y)

Solution steps

lo g_{8} (x y)

Rewrite as

= lo g_{8} ((x y)^{\frac{1}{2}})

Apply log rule

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

assuming

x \geq 0

= \frac{1}{2} lo g_{8} (x y)

(x - 8) (x + 8)

\frac{2 ( 3 x ^{2} - 2 )}{( x ^{2} + 2 ) ^{3}}

(x + x i)^{3}

d y (x y - 2 x + 4 y - 8) - d x (x y + 3 x - y - 3)

3 l e f t (x + y)

What is expand log_{8}(sqrt(xy)) ?
The solution to expand log_{8}(sqrt(xy)) is 1/2 log_{8}(xy)