What is log_{e}(20000/7165)*12 ?

The solution to log_{e}(20000/7165)*12 is 12(ln(20000)-ln(7165))

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simplify log_{e}(20000/7165)*12

simplify

lo g_{e} (\frac{20000}{7165}) \cdot 12

12 (ln (20000) - ln (7165))

Decimal Notation

12.31829 \dots

Solution steps

lo g_{e} (\frac{20000}{7165}) \cdot 12

Apply log rule:

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

lo g_{e} (\frac{20000}{7165}) = lo g_{e} (20000) - lo g_{e} (7165)

= 12 (lo g_{e} (20000) - lo g_{e} (7165))

Apply log rule:

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

= 12 (ln (20000) - lo g_{e} (7165))

Apply log rule:

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

= 12 (ln (20000) - ln (7165))

\frac{2 ln ( - 1 ) - ln ^{2} ( - 1 )}{- 1 ^{2}}

231.84357 - 224.62838 - 8.314 ln (\frac{1}{5.2})

2 lo g_{10} (x) - lo g_{10} (y)

lo g_{2} (\frac{s ^{7}}{5 t ^{2}})

ln (\frac{m ^{3}}{n ^{7}})

What is log_{e}(20000/7165)*12 ?
The solution to log_{e}(20000/7165)*12 is 12(ln(20000)-ln(7165))