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Popular >

simplify log_{e}(2117/1000)

Solution

simplify

lo g_{e} (\frac{2117}{1000})

Solution

ln (2117) - 3 ln (10)

+1

Decimal Notation

0.74999 \dots

Solution steps

lo g_{e} (\frac{2117}{1000})

Apply log rule:

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

lo g_{e} (\frac{2117}{1000}) = lo g_{e} (2117) - lo g_{e} (1000)

= lo g_{e} (2117) - lo g_{e} (1000)

Apply log rule:

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

= ln (2117) - lo g_{e} (1000)

Apply log rule:

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

= ln (2117) - ln (1000)

ln (1000) = 3 ln (10)

= ln (2117) - 3 ln (10)

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Frequently Asked Questions (FAQ)

What is log_{e}(2117/1000) ?
The solution to log_{e}(2117/1000) is ln(2117)-3ln(10)