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Popular >

simplify log_{4}(9)

Solution

simplify

lo g_{4} (9)

Solution

lo g_{2} (3)

+1

Decimal Notation

1.58496 \dots

Solution steps

lo g_{4} (9)

Factor the number:

9 = 3^{2}

= lo g_{4} (3^{2})

Apply log rule:

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

lo g_{4} (3^{2}) = 2 lo g_{4} (3)

= 2 lo g_{4} (3)

Factor the number:

4 = 2^{2}

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

Apply log rule:

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

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

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

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

= lo g_{2} (3)

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1-y=((0.75-0.5y))/(0.9)

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10 a^{2} + 10 a - 20

7^{2} + x^{2} = 2 5^{2}

factor x^2+14/3 x+49/9 factor

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Frequently Asked Questions (FAQ)

What is log_{4}(9) ?
The solution to log_{4}(9) is log_{2}(3)