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Popular >

simplify log_{e}(5/27)

Solution

simplify

lo g_{e} (\frac{5}{27})

Solution

ln (5) - 3 ln (3)

+1

Decimal Notation

- 1.68639 \dots

Solution steps

lo g_{e} (\frac{5}{27})

Apply log rule:

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

lo g_{e} (\frac{5}{27}) = lo g_{e} (5) - lo g_{e} (27)

= lo g_{e} (5) - lo g_{e} (27)

Apply log rule:

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

= ln (5) - lo g_{e} (27)

Apply log rule:

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

= ln (5) - ln (27)

ln (27) = 3 ln (3)

= ln (5) - 3 ln (3)

Popular Examples

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- [\frac{1}{5} lo g_{2} (\frac{1}{5}) + \frac{4}{5} lo g_{2} (\frac{4}{5})]

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ln (7) + ln (3)

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ln ∣ x ∣ - ln ∣ x - n ∣

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lo g_{6} (3 x^{4})

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- 1.014 (lo g_{10} (0.16) - lo g_{10} (x))

Frequently Asked Questions (FAQ)

What is log_{e}(5/27) ?
The solution to log_{e}(5/27) is ln(5)-3ln(3)