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Popular >

simplify log_{0.25}(sqrt(2))

Solution

simplify

lo g_{0.25} (2)

Solution

- 0.25

Solution steps

lo g_{0.25} (2)

Rewrite as

= lo g_{0.25} (2^{\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_{0.25} (2)

Simplify

lo g_{0.25} (2) : - \frac{1}{2}

= \frac{1}{2} (- \frac{1}{2})

Simplify

= - 0.25

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Frequently Asked Questions (FAQ)

What is log_{0.25}(sqrt(2)) ?
The solution to log_{0.25}(sqrt(2)) is -0.25