en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(6e^{rt})

Solution

simplify

ln (6 e^{r t})

Solution

ln (6) + r t

Solution steps

ln (6 e^{r t})

Apply log rule:

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

ln (6 e^{r t}) = ln (6) + ln (e^{r t})

= ln (6) + ln (e^{r t})

Apply log rule:

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

ln (e^{r t}) = r t ln (e)

= ln (6) + r t ln (e)

r t ln (e) = r t

= ln (6) + r t

Popular Examples

simplify ln(a)-2ln(b)+3ln(c)simplify

ln (a) - 2 ln (b) + 3 ln (c)

simplify ln(x^3)+2ln(x^2)simplify

ln (x^{3}) + 2 ln (x^{2})

simplify 30log_{16}(-20log_{16}(x))simplify

30 lo g_{16} (- 20 lo g_{16} (x))

simplify log_{e}(2sqrt(e))simplify

lo g_{e} (2 e)

simplify e^{18}+ln(16x)simplify

e^{18} + ln (16 x)

Frequently Asked Questions (FAQ)

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