What is expand log_{7}(sqrt(k)) ?

The solution to expand log_{7}(sqrt(k)) is 1/2 log_{7}(k)

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expand log_{7}(sqrt(k))

expand

lo g_{7} (k)

\frac{1}{2} lo g_{7} (k)

Solution steps

lo g_{7} (k)

Rewrite as

= lo g_{7} (k^{\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_{7} (k)

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What is expand log_{7}(sqrt(k)) ?
The solution to expand log_{7}(sqrt(k)) is 1/2 log_{7}(k)