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Popular >

simplify log_{sqrt(x)}(x)

Solution

simplify

lo g_{x} (x)

Solution

2

Solution steps

lo g_{x} (x)

Rewrite as

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

Apply log rule

lo g_{a^{b}} (x) = \frac{1}{b} lo g_{a} (x),

assuming

a \geq 0

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

Apply the fraction rule:

\frac{1}{\frac{1}{a}} = a

= 2 lo g_{x} (x)

Apply log rule:

lo g_{a} (a) = 1

= 2

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Frequently Asked Questions (FAQ)

What is log_{sqrt(x)}(x) ?
The solution to log_{sqrt(x)}(x) is 2