en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{6}(24)

Solution

simplify

lo g_{6} (24)

Solution

1 + 2 lo g_{6} (2)

+1

Decimal

1.77370 \dots

Solution steps

lo g_{6} (24)

Factor the number:

24 = 6 \cdot 4

= lo g_{6} (6 \cdot 4)

Apply log rule:

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

lo g_{6} (6 \cdot 4) = lo g_{6} (6) + lo g_{6} (4)

= lo g_{6} (6) + lo g_{6} (4)

Apply log rule:

lo g_{a} (a) = 1

lo g_{6} (6) = 1

= 1 + lo g_{6} (4)

lo g_{6} (4) = 2 lo g_{6} (2)

= 1 + 2 lo g_{6} (2)

Popular Examples

simplify (x^5-32)/(x-2)simplify

\frac{x ^{5} - 32}{x - 2}

simplify ((x^3-27))/((x-3))simplify

\frac{( x ^{3} - 27 )}{( x - 3 )}

simplify 5-(-8)simplify

5 - (- 8)

factor 3x-8x^2 factor

3 x - 8 x^{2}

\frac{24}{15}

Frequently Asked Questions (FAQ)

What is log_{6}(24) ?
The solution to log_{6}(24) is 1+2log_{6}(2)