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Popular >

simplify 6log_{8}(2)

Solution

simplify

6 lo g_{8} (2)

Solution

2

Solution steps

6 lo g_{8} (2)

Factor the number:

8 = 2^{3}

= 6 lo g_{2^{3}} (2)

Apply log rule:

lo g_{a^{b}} (x) = \frac{1}{b} lo g_{a} (x), a > 0

lo g_{2^{3}} (2) = \frac{1}{3} lo g_{2} (2)

= 6 \cdot \frac{1}{3} lo g_{2} (2)

Apply log rule:

lo g_{a} (a) = 1

lo g_{2} (2) = 1

= 6 \cdot \frac{1}{3} \cdot 1

Multiply the numbers:

\frac{1}{3} \cdot 1 = \frac{1}{3}

= 6 \cdot \frac{1}{3}

6 \cdot \frac{1}{3} = 2

= 2

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Frequently Asked Questions (FAQ)

What is 6log_{8}(2) ?
The solution to 6log_{8}(2) is 2