en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3ln(x)+ln(c)

Solution

simplify

3 ln (x) + ln (c)

Solution

ln (x^{3} c)

Solution steps

3 ln (x) + ln (c)

Apply log rule:

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

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

= ln (x^{3}) + ln (c)

Apply log rule:

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

ln (x^{3}) + ln (c) = ln (c x^{3})

= ln (x^{3} c)

Popular Examples

simplify ln(((k^7))/4)simplify

ln (\frac{( k ^{7} )}{4})

simplify ln(12te^{-6t})simplify

ln (12 t e^{- 6 t})

simplify ln(z/t)+2ln(dz)simplify

ln (\frac{z}{t}) + 2 ln (d z)

simplify 3ln(x/((x-2)(x+2)))simplify

3 ln (\frac{x}{( x - 2 ) ( x + 2 )})

simplify log_{10}(1/(e^3))simplify

lo g_{10} (\frac{1}{e ^{3}})

Frequently Asked Questions (FAQ)

What is 3ln(x)+ln(c) ?
The solution to 3ln(x)+ln(c) is ln(x^3c)