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Popular >

simplify ln(9sqrt(2))

Solution

simplify

ln (92)

Solution

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

+1

Decimal Notation

2.54379 \dots

Solution steps

ln (92)

Apply log rule:

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

ln (92) = ln (9) + ln (2)

= ln (9) + ln (2)

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

= ln (9) + \frac{1}{2} ln (2)

ln (9) = 2 ln (3)

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

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Frequently Asked Questions (FAQ)

What is ln(9sqrt(2)) ?
The solution to ln(9sqrt(2)) is 2ln(3)+1/2 ln(2)