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Popular >

simplify 8log_{5}(sqrt(5))

Solution

simplify

8 lo g_{5} (5)

Solution

4

Solution steps

8 lo g_{5} (5)

Apply radical rule:

a = a^{\frac{1}{2}}

5 = 5^{\frac{1}{2}}

= 8 lo g_{5} (5^{\frac{1}{2}})

Apply log rule:

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

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

= 8 \cdot \frac{1}{2}

8 \cdot \frac{1}{2} = 4

= 4

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Frequently Asked Questions (FAQ)

What is 8log_{5}(sqrt(5)) ?
The solution to 8log_{5}(sqrt(5)) is 4