en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{12}+ln(4x)

Solution

simplify

e^{12} + ln (4 x)

Solution

e^{12} + 2 ln (2) + ln (x)

Solution steps

e^{12} + ln (4 x)

Apply log rule:

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

ln (4 x) = ln (4) + ln (x)

= e^{12} + ln (4) + ln (x)

ln (4) = 2 ln (2)

= e^{12} + 2 ln (2) + ln (x)

Popular Examples

simplify 3ln(3/2)-3ln(1)simplify

3 ln (\frac{3}{2}) - 3 ln (1)

simplify ln(4/(sqrt(pi)))simplify

ln (\frac{4}{π})

simplify ln(x^2e^{x/y dy})simplify

ln (x^{2} e^{\frac{x}{y} d y})

expand log_{b}(s^{19})expand

lo g_{b} (s^{19})

simplify ln(x)+2ln(p)-ln(8p^2-1)simplify

ln (x) + 2 ln (p) - ln (8 p^{2} - 1)

Frequently Asked Questions (FAQ)

What is e^{12}+ln(4x) ?
The solution to e^{12}+ln(4x) is e^{12}+2ln(2)+ln(x)