en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 7ln(t)+6ln(s)+5ln(w)

Solution

simplify

7 ln (t) + 6 ln (s) + 5 ln (w)

Solution

ln (t^{7} s^{6} w^{5})

Solution steps

7 ln (t) + 6 ln (s) + 5 ln (w)

Apply log rule:

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

7 ln (t) = ln (t^{7})

= ln (t^{7}) + 6 ln (s) + 5 ln (w)

Apply log rule:

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

6 ln (s) = ln (s^{6})

= ln (t^{7}) + ln (s^{6}) + 5 ln (w)

Apply log rule:

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

ln (t^{7}) + ln (s^{6}) = ln (t^{7} s^{6})

= ln (t^{7} s^{6}) + 5 ln (w)

Apply log rule:

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

5 ln (w) = ln (w^{5})

= ln (t^{7} s^{6}) + ln (w^{5})

Apply log rule:

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

ln (t^{7} s^{6}) + ln (w^{5}) = ln (t^{7} s^{6} w^{5})

= ln (t^{7} s^{6} w^{5})

Popular Examples

simplify ln(2+2y)-ln(1+2y)simplify

ln (2 + 2 y) - ln (1 + 2 y)

simplify ln(ce^{at})simplify

ln (c e^{a t})

simplify ln((1+e^x)/(1+e^{-x)})simplify

ln (\frac{1 + e ^{x}}{1 + e ^{- x}})

simplify ln(6)+2ln(3)simplify

ln (6) + 2 ln (3)

simplify ln(3)+3ln(4)simplify

ln (3) + 3 ln (4)

Frequently Asked Questions (FAQ)

What is 7ln(t)+6ln(s)+5ln(w) ?
The solution to 7ln(t)+6ln(s)+5ln(w) is ln(t^7s^6w^5)