en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(5)+2ln(4)

Solution

simplify

ln (5) + 2 ln (4)

Solution

ln (80)

+1

Decimal Notation

4.38202 \dots

Solution steps

ln (5) + 2 ln (4)

Apply log rule:

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

2 ln (4) = ln (4^{2})

= ln (5) + ln (4^{2})

Apply log rule:

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

ln (5) + ln (4^{2}) = ln (4^{2} \cdot 5)

= ln (4^{2} \cdot 5)

5 \cdot 4^{2} = 80

= ln (80)

Popular Examples

simplify 3log_{10}(a)+log_{10}(c)simplify

3 lo g_{10} (a) + lo g_{10} (c)

simplify 2ln(8)-ln(4)simplify

2 ln (8) - ln (4)

simplify 1/2 (ln(6)-ln(4))simplify

\frac{1}{2} (ln (6) - ln (4))

simplify-2log_{10}(-2x)-2 simplify

- 2 lo g_{10} (- 2 x) - 2

simplify ln((30)/(19.71))simplify

ln (\frac{30}{19.71})

Frequently Asked Questions (FAQ)

What is ln(5)+2ln(4) ?
The solution to ln(5)+2ln(4) is ln(80)