en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{2}(144)

Solution

simplify

lo g_{2} (144)

Solution

4 + 2 lo g_{2} (3)

+1

Decimal Notation

7.16992 \dots

Solution steps

lo g_{2} (144)

Factor the number:

144 = 2^{4} \cdot 9

= lo g_{2} (2^{4} \cdot 9)

Apply log rule:

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

lo g_{2} (2^{4} \cdot 9) = lo g_{2} (2^{4}) + lo g_{2} (9)

= lo g_{2} (2^{4}) + lo g_{2} (9)

Apply log rule:

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

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

= 4 + lo g_{2} (9)

lo g_{2} (9) = 2 lo g_{2} (3)

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

Popular Examples

simplify 2^{0.7}simplify

2^{0.7}

simplify+(-sqrt(8))simplify

+ (- 8)

factor x^3+3x^2+9x factor

x^{3} + 3 x^{2} + 9 x

factor x^4-6x^3+2x^2+26x+17 factor

x^{4} - 6 x^{3} + 2 x^{2} + 26 x + 17

simplify 1^{5/6}simplify

1^{\frac{5}{6}}

Frequently Asked Questions (FAQ)

What is log_{2}(144) ?
The solution to log_{2}(144) is 4+2log_{2}(3)