What is ln(11*7^3sqrt(12)) ?

The solution to ln(11*7^3sqrt(12)) is ln(11)+3ln(7)+1/2 ln(12)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(11*7^3sqrt(12))

simplify

ln (11 \cdot 7^{3} 12)

ln (11) + 3 ln (7) + \frac{1}{2} ln (12)

Decimal Notation

9.47807 \dots

Solution steps

ln (11 \cdot 7^{3} 12)

Apply log rule:

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

ln (11 \cdot 7^{3} 12) = ln (11) + ln (7^{3}) + ln (12)

= ln (11) + ln (7^{3}) + ln (12)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (7^{3}) = 3 ln (7)

= ln (11) + 3 ln (7) + ln (12)

ln (12) = \frac{1}{2} ln (12)

= ln (11) + 3 ln (7) + \frac{1}{2} ln (12)

ln (\frac{ln ( 2 )}{32.1}) - ln (\frac{ln ( 2 )}{17.1})

lo g_{e} (\frac{π}{2})

ln (\frac{4 p ^{3}}{5 q ^{4}})

ln (\frac{1.6}{12})

- \frac{2 ln ( 2 )}{ln ( 5 ) - 2 ln ( 2 )}

What is ln(11*7^3sqrt(12)) ?
The solution to ln(11*7^3sqrt(12)) is ln(11)+3ln(7)+1/2 ln(12)