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Popular >

simplify log_{e}(4/3)-log_{e}(2)

Solution

simplify

lo g_{e} (\frac{4}{3}) - lo g_{e} (2)

Solution

ln (\frac{2}{3})

+1

Decimal Notation

- 0.40546 \dots

Solution steps

lo g_{e} (\frac{4}{3}) - lo g_{e} (2)

Apply log rule:

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

lo g_{e} (\frac{4}{3}) - lo g_{e} (2) = lo g_{e} (\frac{\frac{4}{3}}{2})

= lo g_{e} (\frac{\frac{4}{3}}{2})

\frac{\frac{4}{3}}{2} = \frac{2}{3}

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

Apply log rule:

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

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

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Frequently Asked Questions (FAQ)

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