What is 2ln(3x-8)-ln(5x+1) ?

The solution to 2ln(3x-8)-ln(5x+1) is ln(((3x-8)^2)/(5x+1))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2ln(3x-8)-ln(5x+1)

simplify

2 ln (3 x - 8) - ln (5 x + 1)

ln (\frac{( 3 x - 8 ) ^{2}}{5 x + 1})

Solution steps

2 ln (3 x - 8) - ln (5 x + 1)

Apply log rule:

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

2 ln (3 x - 8) = ln ((3 x - 8)^{2})

= ln ((3 x - 8)^{2}) - ln (5 x + 1)

Apply log rule:

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

ln ((3 x - 8)^{2}) - ln (5 x + 1) = ln (\frac{( 3 x - 8 ) ^{2}}{5 x + 1})

= ln (\frac{( 3 x - 8 ) ^{2}}{5 x + 1})

ln (1) + ln (\frac{1}{2})

\frac{1}{9} ln (\frac{1}{8})

3 lo g_{10} (a - 1) + lo g_{10} (a + 2)

2 (ln (2) - ln (3))

ln (tan (y) tan (x))

What is 2ln(3x-8)-ln(5x+1) ?
The solution to 2ln(3x-8)-ln(5x+1) is ln(((3x-8)^2)/(5x+1))