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Popular >

simplify-1/2 log_{5}(25)

Solution

simplify

- \frac{1}{2} lo g_{5} (25)

Solution

- 1

Solution steps

- \frac{1}{2} lo g_{5} (25)

Factor the number:

25 = 5^{2}

= - \frac{1}{2} lo g_{5} (5^{2})

Apply log rule:

lo g_{a} (a^{b}) = b

lo g_{5} (5^{2}) = 2

= - \frac{1}{2} \cdot 2

- \frac{1}{2} \cdot 2 = - 1

= - 1

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Frequently Asked Questions (FAQ)

What is simplify-1/2 log_{5}(25) ?
The solution to simplify-1/2 log_{5}(25) is -1