What is ln(e^{5x+9})-4ln^{3x+6}(x) ?

The solution to ln(e^{5x+9})-4ln^{3x+6}(x) is ln((e^{5x+9})/(x^4))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(e^{5x+9})-4ln^{3x+6}(x)

simplify

ln (e^{5 x + 9}) - 4 ln^{3 x + 6} (x)

ln (\frac{e ^{5 x + 9}}{x ^{4}})

Solution steps

ln (e^{5 x + 9}) - 4 ln^{3 x + 6} (x)

Apply log rule:

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

4 ln^{3 x + 6} (x) = ln^{3 x + 6} (x^{4})

= ln (e^{5 x + 9}) - ln^{3 x + 6} (x^{4})

Apply log rule:

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

ln (e^{5 x + 9}) - ln^{3 x + 6} (x^{4}) = ln (\frac{e ^{5 x + 9}}{x ^{4}})

= ln (\frac{e ^{5 x + 9}}{x ^{4}})

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

25 lo g_{2} (1 + 1010)

lo g_{x} ((4 x + 1)^{3})

ln (\frac{573.15}{293.15})

\frac{( ln ( 1080999 ) - ln ( 847595 ) )}{20}

What is ln(e^{5x+9})-4ln^{3x+6}(x) ?
The solution to ln(e^{5x+9})-4ln^{3x+6}(x) is ln((e^{5x+9})/(x^4))