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Popular >

simplify log_{e}(36sqrt(2))

Solution

simplify

lo g_{e} (362)

Solution

2 ln (6) + \frac{1}{2} ln (2)

+1

Decimal Notation

3.93009 \dots

Solution steps

lo g_{e} (362)

Apply log rule:

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

lo g_{e} (362) = lo g_{e} (36) + lo g_{e} (2)

= lo g_{e} (36) + lo g_{e} (2)

lo g_{e} (36) = ln (36)

lo g_{e} (2) = \frac{1}{2} ln (2)

= ln (36) + \frac{1}{2} ln (2)

ln (36) = 2 ln (6)

= 2 ln (6) + \frac{1}{2} ln (2)

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Frequently Asked Questions (FAQ)

What is log_{e}(36sqrt(2)) ?
The solution to log_{e}(36sqrt(2)) is 2ln(6)+1/2 ln(2)