en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2ln(15)+ln(5)

Solution

simplify

2 ln (15) + ln (5)

Solution

ln (1125)

+1

Decimal Notation

7.02553 \dots

Solution steps

2 ln (15) + ln (5)

Apply log rule:

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

2 ln (15) = ln (1 5^{2})

= ln (1 5^{2}) + ln (5)

Apply log rule:

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

ln (1 5^{2}) + ln (5) = ln (1 5^{2} \cdot 5)

= ln (1 5^{2} \cdot 5)

1 5^{2} \cdot 5 = 1125

= ln (1125)

Popular Examples

simplify-1/14 log_{2}((1210689028125)/(14^{14)})simplify

- \frac{1}{14} lo g_{2} (\frac{1210689028125}{1 4 ^{14}})

simplify ln(3x+2)+ln(x+4)simplify

ln (3 x + 2) + ln (x + 4)

simplify ln((x^3sqrt(x-1))/(3x+4))simplify

ln (\frac{x ^{3} x - 1}{3 x + 4})

expand log_{10}((x^3)/(zy^4))expand

lo g_{10} (\frac{x ^{3}}{z y ^{4}})

simplify log_{3}((sqrt(x))/(x^2))simplify

lo g_{3} (\frac{x}{x ^{2}})

Frequently Asked Questions (FAQ)

What is 2ln(15)+ln(5) ?
The solution to 2ln(15)+ln(5) is ln(1125)