en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2ln(4)+ln(6)

Solution

simplify

2 ln (4) + ln (6)

Solution

ln (96)

+1

Decimal Notation

4.56434 \dots

Solution steps

2 ln (4) + ln (6)

Apply log rule:

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

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

= ln (4^{2}) + ln (6)

Apply log rule:

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

ln (4^{2}) + ln (6) = ln (4^{2} \cdot 6)

= ln (4^{2} \cdot 6)

4^{2} \cdot 6 = 96

= ln (96)

Popular Examples

simplify ln(xsqrt(x/2))simplify

ln (x \frac{x}{2})

simplify ln(2)+ln(e^{-t/τ})simplify

ln (2) + ln (e^{- \frac{t}{τ}})

simplify 3/4 (ln(a)+ln(b))simplify

\frac{3}{4} (ln (a) + ln (b))

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

2 ln (2) + 3 ln (3)

simplify ln(A^2e^3)simplify

ln (A^{2} e^{3})

Frequently Asked Questions (FAQ)

What is 2ln(4)+ln(6) ?
The solution to 2ln(4)+ln(6) is ln(96)