en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ln(2m^8)

Solution

expand

ln (2 m^{8})

Solution

ln (2) + 8 ln (m)

Solution steps

ln (2 m^{8})

Apply log rule:

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

ln (2 m^{8}) = ln (2) + ln (m^{8})

= ln (2) + ln (m^{8})

Apply log rule:

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

ln (m^{8}) = 8 ln (m)

= ln (2) + 8 ln (m)

Popular Examples

simplify 1/11 (log_{6}(x)+log_{6}(y))simplify

\frac{1}{11} (lo g_{6} (x) + lo g_{6} (y))

simplify ln(4x^2)simplify

ln (4 x^{2})

simplify log_{x}(a)-log_{x}(b)simplify

lo g_{x} (a) - lo g_{x} (b)

simplify ln(r/(9s))simplify

ln (\frac{r}{9 s})

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

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

Frequently Asked Questions (FAQ)

What is expand ln(2m^8) ?
The solution to expand ln(2m^8) is ln(2)+8ln(m)