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Popular >

simplify log_{e}(3/2)

Solution

simplify

lo g_{e} (\frac{3}{2})

Solution

ln (3) - ln (2)

+1

Decimal Notation

0.40546 \dots

Solution steps

lo g_{e} (\frac{3}{2})

Apply log rule:

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

lo g_{e} (\frac{3}{2}) = lo g_{e} (3) - lo g_{e} (2)

= lo g_{e} (3) - lo g_{e} (2)

Apply log rule:

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

= ln (3) - lo g_{e} (2)

Apply log rule:

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

= ln (3) - ln (2)

Popular Examples

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lo g_{2} (\frac{c}{8})

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ln (\frac{e ^{2}}{13})

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ln (a) + ln (b) - ln (c)

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lo g_{4} (x y^{5} z^{4})

Frequently Asked Questions (FAQ)

What is log_{e}(3/2) ?
The solution to log_{e}(3/2) is ln(3)-ln(2)