en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 5ln(3)-ln(x^5)

Solution

simplify

5 ln (3) - ln (x^{5})

Solution

ln (\frac{243}{x ^{5}})

Solution steps

5 ln (3) - ln (x^{5})

Apply log rule:

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

5 ln (3) = ln (3^{5})

= ln (3^{5}) - ln (x^{5})

Apply log rule:

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

ln (3^{5}) - ln (x^{5}) = ln (\frac{3 ^{5}}{x ^{5}})

= ln (\frac{3 ^{5}}{x ^{5}})

3^{5} = 243

= ln (\frac{243}{x ^{5}})

Popular Examples

simplify 2ln((10)/(1.3))simplify

2 ln (\frac{10}{1.3})

simplify ln((48^2)/5)simplify

ln (\frac{4 8 ^{2}}{5})

simplify ln(15/53)simplify

ln (\frac{15}{53})

simplify ln(2/(2/3))simplify

ln (\frac{2}{\frac{2}{3}})

simplify 150ln(390/332)simplify

150 ln (\frac{390}{332})

Frequently Asked Questions (FAQ)

What is 5ln(3)-ln(x^5) ?
The solution to 5ln(3)-ln(x^5) is ln((243)/(x^5))