en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{2}(250)

Solution

simplify

lo g_{2} (250)

Solution

1 + 3 lo g_{2} (5)

+1

Decimal Notation

7.96578 \dots

Solution steps

lo g_{2} (250)

Factor the number:

250 = 2 \cdot 125

= lo g_{2} (2 \cdot 125)

Apply log rule:

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

lo g_{2} (2 \cdot 125) = lo g_{2} (2) + lo g_{2} (125)

= lo g_{2} (2) + lo g_{2} (125)

Apply log rule:

lo g_{a} (a) = 1

lo g_{2} (2) = 1

= 1 + lo g_{2} (125)

lo g_{2} (125) = 3 lo g_{2} (5)

= 1 + 3 lo g_{2} (5)

Popular Examples

simplify (2x+3)/(5x-30)-(3x+4)/(x-6)simplify

\frac{2 x + 3}{5 x - 30} - \frac{3 x + 4}{x - 6}

factor 12x^2-8x-4 factor

12 x^{2} - 8 x - 4

simplify 1/3 (2)^{-2/3}simplify

\frac{1}{3} (2)^{- \frac{2}{3}}

simplify 1/2+1/3+1/3 simplify

\frac{1}{2} + \frac{1}{3} + \frac{1}{3}

simplify (x^2-4x-5)/(x^2+x)simplify

\frac{x ^{2} - 4 x - 5}{x ^{2} + x}

Frequently Asked Questions (FAQ)

What is log_{2}(250) ?
The solution to log_{2}(250) is 1+3log_{2}(5)