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Popular >

simplify ln(4sqrt(3))

Solution

simplify

ln (43)

Solution

2 ln (2) + \frac{1}{2} ln (3)

+1

Decimal Notation

1.93560 \dots

Solution steps

ln (43)

Apply log rule:

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

ln (43) = ln (4) + ln (3)

= ln (4) + ln (3)

ln (3) = \frac{1}{2} ln (3)

= ln (4) + \frac{1}{2} ln (3)

ln (4) = 2 ln (2)

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

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Frequently Asked Questions (FAQ)

What is ln(4sqrt(3)) ?
The solution to ln(4sqrt(3)) is 2ln(2)+1/2 ln(3)