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Popular >

simplify log_{e}(10/4)

Solution

simplify

lo g_{e} (\frac{10}{4})

Solution

ln (10) - 2 ln (2)

+1

Decimal Notation

0.91629 \dots

Solution steps

lo g_{e} (\frac{10}{4})

Apply log rule:

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

lo g_{e} (\frac{10}{4}) = lo g_{e} (10) - lo g_{e} (4)

= lo g_{e} (10) - lo g_{e} (4)

Apply log rule:

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

= ln (10) - lo g_{e} (4)

Apply log rule:

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

= ln (10) - ln (4)

ln (4) = 2 ln (2)

= ln (10) - 2 ln (2)

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Frequently Asked Questions (FAQ)

What is log_{e}(10/4) ?
The solution to log_{e}(10/4) is ln(10)-2ln(2)