en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(4/(5-2x))

Solution

simplify

ln (\frac{4}{5 - 2 x})

Solution

2 ln (2) - ln (5 - 2 x)

Solution steps

ln (\frac{4}{5 - 2 x})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{4}{5 - 2 x}) = ln (4) - ln (5 - 2 x)

= ln (4) - ln (- 2 x + 5)

ln (4) = 2 ln (2)

= 2 ln (2) - ln (- 2 x + 5)

Popular Examples

simplify ln|4|-ln|5|simplify

ln ∣ 4 ∣ - ln ∣ 5 ∣

simplify-ln(x/2)simplify

- ln (\frac{x}{2})

simplify log_{10}(\sqrt[3]{x^2}\sqrt[4]{y^7})simplify

simplify log_{1/7}(2x)simplify

lo g_{\frac{1}{7}} (2 x)

simplify log_{10}((1000000)/(sqrt(m^2+n^2)))simplify

lo g_{10} (\frac{1000000}{m ^{2} + n ^{2}})

Frequently Asked Questions (FAQ)

What is ln(4/(5-2x)) ?
The solution to ln(4/(5-2x)) is 2ln(2)-ln(5-2x)