en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(6e^{2x})

Solution

simplify

ln (6 e^{2 x})

Solution

ln (6) + 2 x

Solution steps

ln (6 e^{2 x})

Apply log rule:

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

ln (6 e^{2 x}) = ln (6) + ln (e^{2 x})

= ln (6) + ln (e^{2 x})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (e^{2 x}) = 2 x ln (e)

= ln (6) + 2 x ln (e)

2 x ln (e) = 2 x

= ln (6) + 2 x

Popular Examples

simplify ln((x^2y^3)/(z^4))simplify

ln (\frac{x ^{2} y ^{3}}{z ^{4}})

simplify ln(760/120)simplify

ln (\frac{760}{120})

simplify 360ln((360.108)/(360))simplify

360 ln (\frac{360.108}{360})

simplify ln((x^4)/(y^2z^5))simplify

ln (\frac{x ^{4}}{y ^{2} z ^{5}})

simplify (ln(330)-ln(166))/7 simplify

\frac{ln ( 330 ) - ln ( 166 )}{7}

Frequently Asked Questions (FAQ)

What is ln(6e^{2x}) ?
The solution to ln(6e^{2x}) is ln(6)+2x