en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 5ln(x-1)+2ln(x+6)

Solution

simplify

5 ln (x - 1) + 2 ln (x + 6)

Solution

ln ((x - 1)^{5} (x + 6)^{2})

Solution steps

5 ln (x - 1) + 2 ln (x + 6)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

5 ln (x - 1) = ln ((x - 1)^{5})

= ln ((x - 1)^{5}) + 2 ln (x + 6)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (x + 6) = ln ((x + 6)^{2})

= ln ((x - 1)^{5}) + ln ((x + 6)^{2})

Apply log rule:

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

ln ((x - 1)^{5}) + ln ((x + 6)^{2}) = ln ((x - 1)^{5} (x + 6)^{2})

= ln ((x - 1)^{5} (x + 6)^{2})

Popular Examples

simplify 1/45 ln(2/7)simplify

\frac{1}{45} ln (\frac{2}{7})

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

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

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

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

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

- ln (x + 3) + 2 ln (x - 2)

simplify ln^3(x)-ln^{37}(-ln^3(y))simplify

ln^{3} (x) - ln^{37} (- ln^{3} (y))

Frequently Asked Questions (FAQ)

What is 5ln(x-1)+2ln(x+6) ?
The solution to 5ln(x-1)+2ln(x+6) is ln((x-1)^5(x+6)^2)