en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{8}(24)

Solution

simplify

lo g_{8} (24)

Solution

1 + lo g_{8} (3)

+1

Decimal Notation

1.52832 \dots

Solution steps

lo g_{8} (24)

Factor the number:

24 = 8 \cdot 3

= lo g_{8} (8 \cdot 3)

Apply log rule:

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

lo g_{8} (8 \cdot 3) = lo g_{8} (8) + lo g_{8} (3)

= lo g_{8} (8) + lo g_{8} (3)

Apply log rule:

lo g_{a} (a) = 1

lo g_{8} (8) = 1

= 1 + lo g_{8} (3)

Popular Examples

simplify 1/9+1/18 simplify

\frac{1}{9} + \frac{1}{18}

factor 3x^2-x^3 factor

3 x^{2} - x^{3}

simplify log_{6}(\sqrt[4]{6})simplify

factor a^4+4a^2+16 factor

a^{4} + 4 a^{2} + 16

simplify x+2/x simplify

x + \frac{2}{x}

Frequently Asked Questions (FAQ)

What is log_{8}(24) ?
The solution to log_{8}(24) is 1+log_{8}(3)