What is ln(sqrt(5))+ln(sqrt(20)) ?

The solution to ln(sqrt(5))+ln(sqrt(20)) is ln(10)

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simplify ln(sqrt(5))+ln(sqrt(20))

simplify

ln (5) + ln (20)

ln (10)

Decimal Notation

2.30258 \dots

Solution steps

ln (5) + ln (20)

Apply log rule:

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

ln (5) + ln (20) = ln (520)

= ln (520)

520 = 10

= ln (10)

ln (\frac{( 1 - i )}{( 1 + i )})

ln (x) - ln (2 x - 1)

\frac{ln ( 7 ) - 5 ln ( 5 )}{ln ( 5 )}

- \frac{1}{2} ln (20)

ln (\frac{31}{2})

What is ln(sqrt(5))+ln(sqrt(20)) ?
The solution to ln(sqrt(5))+ln(sqrt(20)) is ln(10)