en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{2}(96)

Solution

simplify

lo g_{2} (96)

Solution

5 + lo g_{2} (3)

+1

Decimal Notation

6.58496 \dots

Solution steps

lo g_{2} (96)

Factor the number:

96 = 2^{5} \cdot 3

= lo g_{2} (2^{5} \cdot 3)

Apply log rule:

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

lo g_{2} (2^{5} \cdot 3) = lo g_{2} (2^{5}) + lo g_{2} (3)

= lo g_{2} (2^{5}) + lo g_{2} (3)

Apply log rule:

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

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

= 5 + lo g_{2} (3)

Popular Examples

simplify (18x^2sqrt(14x^8))/6 sqrt(7x^4)simplify

\frac{18 x ^{2} 14 x ^{8}}{6} 7 x^{4}

\frac{13}{11}

factor+81p^2-144pq+64q^2 factor

+ 81 p^{2} - 144 pq + 64 q^{2}

simplify 3+sqrt(-8)simplify

3 + - 8

factor a^2*b-a*b^2*c*d^3 factor

a^{2} \cdot b - a \cdot b^{2} \cdot c \cdot d^{3}

Frequently Asked Questions (FAQ)

What is log_{2}(96) ?
The solution to log_{2}(96) is 5+log_{2}(3)