en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{2}(1/x)

Solution

simplify

lo g_{2} (\frac{1}{x})

Solution

- lo g_{2} (x)

Solution steps

lo g_{2} (\frac{1}{x})

Simplify

\frac{1}{x} : x^{- 1}

= lo g_{2} (x^{- 1})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), assuming x > 0

lo g_{2} (x^{- 1}) = - 1 \cdot lo g_{2} (x)

= - 1 \cdot lo g_{2} (x)

Apply rule:

1 \cdot a = a

= - lo g_{2} (x)

Popular Examples

simplify 1/6 ln(8)-1/6 ln(4)simplify

\frac{1}{6} ln (8) - \frac{1}{6} ln (4)

simplify log_{1/6}(4)-log_{1/6}(9)simplify

lo g_{\frac{1}{6}} (4) - lo g_{\frac{1}{6}} (9)

expand ln(2/7)expand

ln (\frac{2}{7})

simplify log_{10}(2)+2log_{10}(5)simplify

lo g_{10} (2) + 2 lo g_{10} (5)

simplify ln(-2x)simplify

ln (- 2 x)

Frequently Asked Questions (FAQ)

What is log_{2}(1/x) ?
The solution to log_{2}(1/x) is -log_{2}(x)