en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(e^{3x})

Solution

simplify

ln (e^{3 x})

Solution

3 x

Solution steps

ln (e^{3 x})

Apply log rule

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

assuming

x \geq 0

= 3 ln (e) x

Apply log rule:

lo g_{a} (a) = 1

= 3 x

Popular Examples

domain of f(x)= 1/(2x^{1/2)}domain

f (x) = \frac{1}{2 x ^{\frac{1}{2}}}

simplify 1/(cos(2x))simplify

\frac{1}{cos ( 2 x )}

simplify (4/3)/((-1))simplify

\frac{\frac{4}{3}}{( - 1 )}

simplify 230-220*0.5 simplify

230 - 220 \cdot 0.5

simplify log_{4}(13.928)simplify

lo g_{4} (13.928)

Frequently Asked Questions (FAQ)

What is ln(e^{3x}) ?
The solution to ln(e^{3x}) is 3x