What is expand log_{2}(sqrt(xyz)) ?

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

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expand log_{2}(sqrt(xyz))

expand

lo g_{2} (x yz)

\frac{1}{2} lo g_{2} (x yz)

Solution steps

lo g_{2} (x yz)

Rewrite as

= lo g_{2} ((x yz)^{\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_{2} (x yz)

\frac{x - 2}{( x - 3 ) ^{2} ( x - 8 )}

\frac{2 x + 1}{( x ^{2} + x ) ^{3}}

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

(\frac{- 4 α ^{2} + 4 α β}{β ^{2}})^{2}

\frac{x ^{4} - 5 x ^{3} + 1}{( 2 - x ) ( x - 3 )}

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