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Popular >

simplify log_{4}(2)

Solution

simplify

lo g_{4} (2)

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

lo g_{4} (2)

Factor the number:

4 = 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)

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

Apply log rule:

lo g_{a} (a) = 1

lo g_{2} (2) = 1

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

Multiply the numbers:

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

= \frac{1}{2}

Popular Examples

b^{2} + 5 b - 35 = 3 b

simplify (1/8)/(5/9)+36/10*1/2-35/100 simplify

\frac{\frac{1}{8}}{\frac{5}{9}} + \frac{36}{10} \cdot \frac{1}{2} - \frac{35}{100}

simplify pi*4^2 simplify

π \cdot 4^{2}

(x - 3)^{2} = 9

(5+x)/(5-x)>= 1

\frac{5 + x}{5 - x} \geq 1

Frequently Asked Questions (FAQ)

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