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Popular >

simplify log_{e}(5/3)*100

Solution

simplify

lo g_{e} (\frac{5}{3}) \cdot 100

Solution

100 (ln (5) - ln (3))

+1

Decimal

51.08256 \dots

Solution steps

lo g_{e} (\frac{5}{3}) \cdot 100

Apply log rule:

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

lo g_{e} (\frac{5}{3}) = lo g_{e} (5) - lo g_{e} (3)

= 100 (lo g_{e} (5) - lo g_{e} (3))

Apply log rule:

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

= 100 (ln (5) - lo g_{e} (3))

Apply log rule:

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

= 100 (ln (5) - ln (3))

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Frequently Asked Questions (FAQ)

What is log_{e}(5/3)*100 ?
The solution to log_{e}(5/3)*100 is 100(ln(5)-ln(3))