en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{256}(4)

Solution

simplify

lo g_{256} (4)

Solution

\frac{1}{4}

+1

Decimal Notation

0.25

Solution steps

lo g_{256} (4)

Factor the number:

256 = 2^{8}

= lo g_{2^{8}} (4)

Apply log rule:

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

lo g_{2^{8}} (4) = \frac{1}{8} lo g_{2} (4)

= \frac{1}{8} lo g_{2} (4)

Factor the number:

4 = 2^{2}

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

Apply log rule:

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

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

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

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

= \frac{1}{4}

Popular Examples

factor 6x^2-6x+3 factor

6 x^{2} - 6 x + 3

factor 2x^2-12x+36 factor

2 x^{2} - 12 x + 36

simplify (3m}{2f}*\frac{f^3)/6 simplify

\frac{3 m}{2 f} \cdot \frac{f ^{3}}{6}

\frac{x}{11} - 9 = - 3

simplify ln((1+x)/(1-x))simplify

ln (\frac{1 + x}{1 - x})

Frequently Asked Questions (FAQ)

What is log_{256}(4) ?
The solution to log_{256}(4) is 1/4