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Popular >

simplify log_{e}(16/21)

Solution

simplify

lo g_{e} (\frac{16}{21})

Solution

4 ln (2) - ln (21)

+1

Decimal Notation

- 0.27193 \dots

Solution steps

lo g_{e} (\frac{16}{21})

Apply log rule:

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

lo g_{e} (\frac{16}{21}) = lo g_{e} (16) - lo g_{e} (21)

= lo g_{e} (16) - lo g_{e} (21)

Apply log rule:

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

= ln (16) - lo g_{e} (21)

Apply log rule:

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

= ln (16) - ln (21)

ln (16) = 4 ln (2)

= 4 ln (2) - ln (21)

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Frequently Asked Questions (FAQ)

What is log_{e}(16/21) ?
The solution to log_{e}(16/21) is 4ln(2)-ln(21)