en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2log_{2}(8)

Solution

simplify

2 lo g_{2} (8)

Solution

6

Solution steps

2 lo g_{2} (8)

Factor the number:

8 = 2^{3}

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

Apply log rule:

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

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

= 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 6

Popular Examples

2 x^{2} - 4 x - 8 = 0

simplify (64)/(-8)simplify

\frac{64}{- 8}

simplify (sqrt(11))/(2sqrt(11))simplify

\frac{11}{2 11}

simplify (2sqrt(a)-sqrt(b))/(sqrt(a)-2\sqrt{b)}simplify

\frac{2 a - b}{a - 2 b}

simplify \sqrt[4]{48a^4b^5c^8}simplify

Frequently Asked Questions (FAQ)

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