en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(m/8 (p-9))

Solution

simplify

ln (\frac{m}{8} (p - 9))

Solution

ln (m) - 3 ln (2) + ln (p - 9)

Solution steps

ln (\frac{m}{8} (p - 9))

Apply log rule:

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

ln (\frac{m}{8} (p - 9)) = ln (\frac{m}{8}) + ln (p - 9)

= ln (\frac{m}{8}) + ln (p - 9)

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{m}{8}) = ln (m) - ln (8)

= ln (m) - ln (8) + ln (p - 9)

ln (8) = 3 ln (2)

= ln (m) - 3 ln (2) + ln (p - 9)

Popular Examples

simplify 4-3/2+ln| 3/2 |-ln|4|simplify

4 - \frac{3}{2} + ln \frac{3}{2} - ln ∣ 4 ∣

simplify log_{b}(y^2x)simplify

lo g_{b} (y^{2} x)

simplify ln(1/(x-1))simplify

ln (\frac{1}{x - 1})

simplify ln(x^2-64)-ln(x+8)simplify

ln (x^{2} - 64) - ln (x + 8)

simplify 1/2 log_{c}(x)+3log_{c}(y)-4log_{c}(x)simplify

\frac{1}{2} lo g_{c} (x) + 3 lo g_{c} (y) - 4 lo g_{c} (x)

Frequently Asked Questions (FAQ)

What is ln(m/8 (p-9)) ?
The solution to ln(m/8 (p-9)) is ln(m)-3ln(2)+ln(p-9)