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Popular >

simplify log_{e}(4/3)

Solution

simplify

lo g_{e} (\frac{4}{3})

Solution

2 ln (2) - ln (3)

+1

Decimal Notation

0.28768 \dots

Solution steps

lo g_{e} (\frac{4}{3})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{e} (\frac{4}{3}) = lo g_{e} (4) - lo g_{e} (3)

= lo g_{e} (4) - lo g_{e} (3)

Apply log rule:

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

= ln (4) - lo g_{e} (3)

Apply log rule:

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

= ln (4) - ln (3)

ln (4) = 2 ln (2)

= 2 ln (2) - ln (3)

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Frequently Asked Questions (FAQ)

What is log_{e}(4/3) ?
The solution to log_{e}(4/3) is 2ln(2)-ln(3)