en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3ln(x)-2ln(c)

Solution

simplify

3 ln (x) - 2 ln (c)

Solution

ln (\frac{x ^{3}}{c ^{2}})

Solution steps

3 ln (x) - 2 ln (c)

Apply log rule:

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

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

= ln (x^{3}) - 2 ln (c)

Apply log rule:

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

2 ln (c) = ln (c^{2})

= ln (x^{3}) - ln (c^{2})

Apply log rule:

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

ln (x^{3}) - ln (c^{2}) = ln (\frac{x ^{3}}{c ^{2}})

= ln (\frac{x ^{3}}{c ^{2}})

Popular Examples

simplify log_{10}(1/e)simplify

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

simplify 3log_{10}(x)+4log_{10}(x-2)simplify

3 lo g_{10} (x) + 4 lo g_{10} (x - 2)

simplify (ln(0.7182)+ln(0.6798))/2 simplify

\frac{ln ( 0.7182 ) + ln ( 0.6798 )}{2}

simplify (ln(3)-ln(2))/8 simplify

\frac{ln ( 3 ) - ln ( 2 )}{8}

simplify ln(-2/3 e^{3x})simplify

ln (- \frac{2}{3} e^{3 x})

Frequently Asked Questions (FAQ)

What is 3ln(x)-2ln(c) ?
The solution to 3ln(x)-2ln(c) is ln((x^3)/(c^2))