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Popular >

simplify 2log_{e}(2/3)

Solution

simplify

2 lo g_{e} (\frac{2}{3})

Solution

2 (ln (2) - ln (3))

+1

Decimal Notation

- 0.81093 \dots

Solution steps

2 lo g_{e} (\frac{2}{3})

Apply log rule:

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

lo g_{e} (\frac{2}{3}) = lo g_{e} (2) - lo g_{e} (3)

= 2 (lo g_{e} (2) - lo g_{e} (3))

Apply log rule:

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

= 2 (ln (2) - lo g_{e} (3))

Apply log rule:

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

= 2 (ln (2) - ln (3))

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Frequently Asked Questions (FAQ)

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