What is expand log_{10}(sqrt(3xy)) ?

The solution to expand log_{10}(sqrt(3xy)) is 1/2 log_{10}(3xy)

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expand log_{10}(sqrt(3xy))

expand

lo g_{10} (3 x y)

\frac{1}{2} lo g_{10} (3 x y)

Solution steps

lo g_{10} (3 x y)

Rewrite as

= lo g_{10} ((3 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_{10} (3 x y)

(1 - 3 i)^{7}

(6 - x) e^{\frac{x}{3}}

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

(\frac{i}{n})^{3}

(x - 1 - 3 i) (x - 1 + 3 i)

What is expand log_{10}(sqrt(3xy)) ?
The solution to expand log_{10}(sqrt(3xy)) is 1/2 log_{10}(3xy)