en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(80(60)^n)

Solution

simplify

ln (80 (60)^{n})

Solution

ln (80) + n ln (60)

Solution steps

ln (80 (60)^{n})

Apply log rule:

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

ln (80 \cdot 6 0^{n}) = ln (80) + ln (6 0^{n})

= ln (80) + ln (6 0^{n})

Apply log rule:

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

ln (6 0^{n}) = n ln (60)

= ln (80) + n ln (60)

Popular Examples

simplify ln((30)/(12.95))simplify

ln (\frac{30}{12.95})

factor yln(1-x)+ln(Cy)factor

y ln (1 - x) + ln (C y)

simplify ln(sin(y))+ln(x+1)simplify

ln (sin (y)) + ln (x + 1)

simplify 1/2 ln^2(x)+2ln(x)simplify

\frac{1}{2} ln^{2} (x) + 2 ln (x)

simplify-9+3ln(6x)simplify

- 9 + 3 ln (6 x)

Frequently Asked Questions (FAQ)

What is ln(80(60)^n) ?
The solution to ln(80(60)^n) is ln(80)+nln(60)