What is expand log_{10}(sqrt(u)) ?

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

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expand log_{10}(sqrt(u))

expand

lo g_{10} (u)

\frac{1}{2} lo g_{10} (u)

Solution steps

lo g_{10} (u)

Rewrite as

= lo g_{10} (u^{\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} (u)

x (1 + 2 ln (x))

, (z^{2} = x^{2} + y^{2})

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