en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 5ln(3)+5ln(3)+5ln(2)

Solution

simplify

5 ln (3) + 5 ln (3) + 5 ln (2)

Solution

5 ln (3) + 5 ln (6)

+1

Decimal Notation

14.45185 \dots

Solution steps

5 ln (3) + 5 ln (3) + 5 ln (2)

Apply log rule:

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

5 ln (3) = ln (3^{5})

= 5 ln (3) + ln (3^{5}) + 5 ln (2)

Apply log rule:

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

5 ln (2) = ln (2^{5})

= 5 ln (3) + ln (3^{5}) + ln (2^{5})

Apply log rule:

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

ln (3^{5}) + ln (2^{5}) = ln (3^{5} \cdot 2^{5})

= 5 ln (3) + ln (3^{5} \cdot 2^{5})

3^{5} \cdot 2^{5} = 7776

= 5 ln (3) + ln (7776)

ln (7776) = 5 ln (6)

= 5 ln (3) + 5 ln (6)

Popular Examples

simplify ln(mx)simplify

ln (m x)

simplify ln(5.6x^{7.8})simplify

ln (5.6 x^{7.8})

simplify ln((0.15)/(1.2))simplify

ln (\frac{0.15}{1.2})

simplify-ln(x)-ln(1-v)simplify

- ln (x) - ln (1 - v)

join sqrt(2)*log_{10}(2)join

2 \cdot lo g_{10} (2)

Frequently Asked Questions (FAQ)

What is 5ln(3)+5ln(3)+5ln(2) ?
The solution to 5ln(3)+5ln(3)+5ln(2) is 5ln(3)+5ln(6)