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Popular >

simplify 2log_{4}(2)

Solution

simplify

2 lo g_{4} (2)

Solution

1

Solution steps

2 lo g_{4} (2)

Factor the number:

4 = 2^{2}

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

Apply log rule:

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

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

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

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

= lo g_{2} (2)

Apply log rule:

lo g_{a} (a) = 1

= 1

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\frac{11}{64}

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\frac{3}{5} \times \frac{1}{2}

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\frac{5 - x}{3 x - 15}

Frequently Asked Questions (FAQ)

What is 2log_{4}(2) ?
The solution to 2log_{4}(2) is 1