en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln((3x-4)/(2x+1))

Solution

simplify

ln (\frac{3 x - 4}{2 x + 1})

Solution

ln (3 x - 4) - ln (2 x + 1)

Solution steps

ln (\frac{3 x - 4}{2 x + 1})

Apply log rule:

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

ln (\frac{3 x - 4}{2 x + 1}) = ln (3 x - 4) - ln (2 x + 1)

= ln (3 x - 4) - ln (2 x + 1)

Popular Examples

simplify (1/2 log_{e}(9x^2))+log_{e}(3x)simplify

(\frac{1}{2} lo g_{e} (9 x^{2})) + lo g_{e} (3 x)

expand log_{10}((\sqrt[3]{y^4z})/(x^2))expand

simplify ln(((e^7))/2)simplify

ln (\frac{( e ^{7} )}{2})

simplify (((ln(1.01)-ln(0.99))))/(0.02)simplify

\frac{( ( ln ( 1.01 ) - ln ( 0.99 ) ) )}{0.02}

expand log_{e}(((2y^2))/(z^3))expand

lo g_{e} (\frac{( 2 y ^{2} )}{z ^{3}})

Frequently Asked Questions (FAQ)

What is ln((3x-4)/(2x+1)) ?
The solution to ln((3x-4)/(2x+1)) is ln(3x-4)-ln(2x+1)