What is ln(3)+ln(2)+ln(2) ?

The solution to ln(3)+ln(2)+ln(2) is ln(12)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

ln (12)

Decimal Notation

2.48490 \dots

Solution steps

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

Apply log rule:

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

ln (3) + ln (2) = ln (3 \cdot 2)

= ln (3 \cdot 2) + ln (2)

Multiply the numbers:

3 \cdot 2 = 6

= ln (6) + ln (2)

Apply log rule:

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

ln (6) + ln (2) = ln (6 \cdot 2)

= ln (6 \cdot 2)

Multiply the numbers:

6 \cdot 2 = 12

= ln (12)

ln (\frac{e ^{6}}{7})

lo g_{5} (3 x) \cdot ln (5)

e^{\frac{1}{4} (l n (2 x + 1) - l n (2 x - 1))}

\frac{ln ( 2.99 ) - ln ( 3 )}{( 2.99 ) - 3}

- lo g_{10} (4.17 \cdot 1 0^{- 4})