What is ln((40e)/((20e-1))) ?

The solution to ln((40e)/((20e-1))) is ln(40)+1-ln(20e-1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln((40e)/((20e-1)))

simplify

ln (\frac{40 e}{( 20 e - 1 )})

ln (40) + 1 - ln (20 e - 1)

Solution steps

ln (\frac{40 e}{( 20 e - 1 )})

Apply log rule:

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

ln (\frac{40 e}{( 20 e - 1 )}) = ln (40 e) - ln ((20 e - 1))

= ln (40 e) - ln (20 e - 1)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (40 e) = ln (40) + ln (e)

= ln (40) + ln (e) - ln (20 e - 1)

Apply log rule:

lo g_{a} (a) = 1

= ln (40) + 1 - ln (20 e - 1)

3 lo g_{10} (3)

ln (x^{2} e^{(4 y)})

ln (y) + \frac{1}{y} - ln (y h)

ln (\frac{e ^{x} y ^{3}}{x})

2 ln (v - 1) - ln (v + 1)

What is ln((40e)/((20e-1))) ?
The solution to ln((40e)/((20e-1))) is ln(40)+1-ln(20e-1)