en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{2}(10)

Solution

simplify

lo g_{2} (10)

Solution

1 + lo g_{2} (5)

+1

Decimal Notation

3.32192 \dots

Solution steps

lo g_{2} (10)

Factor the number:

10 = 2 \cdot 5

= lo g_{2} (2 \cdot 5)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{2} (2 \cdot 5) = lo g_{2} (2) + lo g_{2} (5)

= lo g_{2} (2) + lo g_{2} (5)

Apply log rule:

lo g_{a} (a) = 1

lo g_{2} (2) = 1

= 1 + lo g_{2} (5)

Popular Examples

factor x^4-25x^2 factor

x^{4} - 25 x^{2}

simplify (1+4i)(2i^2-i)simplify

(1 + 4 i) (2 i^{2} - i)

9 - 3 < 3

factor 6b^3-3b^2+4b-2 factor

6 b^{3} - 3 b^{2} + 4 b - 2

factor t^3+3t^2-12t+4 factor

t^{3} + 3 t^{2} - 12 t + 4

Frequently Asked Questions (FAQ)

What is log_{2}(10) ?
The solution to log_{2}(10) is 1+log_{2}(5)