en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{2}(6)-log_{2}(24)

Solution

simplify

lo g_{2} (6) - lo g_{2} (24)

Solution

- 2

Solution steps

lo g_{2} (6) - lo g_{2} (24)

Apply log rule:

lo g_{a} (x) - lo g_{a} (y) = lo g_{a} (\frac{x}{y})

lo g_{2} (6) - lo g_{2} (24) = lo g_{2} (\frac{6}{24})

= lo g_{2} (\frac{6}{24})

\frac{6}{24} = 2^{- 2}

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

Apply log rule:

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

= - 2

Popular Examples

simplify sqrt(36^2)simplify

3 6^{2}

factor x^5y^3+x^3y factor

x^{5} y^{3} + x^{3} y

\frac{4}{9} \div \frac{5}{4}

simplify-9/10*3 simplify

- \frac{9}{10} \cdot 3

simplify 1.03^{12}simplify

1.0 3^{12}

Frequently Asked Questions (FAQ)

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