What is expand ln((sqrt(x+9))/(x(x-4))) ?

The solution to expand ln((sqrt(x+9))/(x(x-4))) is ln(sqrt(x+9))-ln(x)-ln(x-4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ln((sqrt(x+9))/(x(x-4)))

expand

ln (\frac{x + 9}{x ( x - 4 )})

ln (x + 9) - ln (x) - ln (x - 4)

Solution steps

ln (\frac{x + 9}{x ( x - 4 )})

Apply log rule:

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

ln (\frac{x + 9}{x ( x - 4 )}) = ln (x + 9) - ln (x (x - 4))

= ln (x + 9) - ln (x (x - 4))

Apply log rule:

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

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

= ln (x + 9) - (ln (x) + ln (x - 4))

- (ln (x) + ln (x - 4)) : - ln (x) - ln (x - 4)

= ln (x + 9) - ln (x) - ln (x - 4)

lo g_{6} (\frac{6}{y})

lo g_{3} (2) - lo g_{3} (x)

ln (\frac{7}{9 x ^{9} y})

ln (\frac{36 5}{25})

lo g_{8} ((\frac{u ^{3}}{v})^{2})

What is expand ln((sqrt(x+9))/(x(x-4))) ?
The solution to expand ln((sqrt(x+9))/(x(x-4))) is ln(sqrt(x+9))-ln(x)-ln(x-4)