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Popular >

simplify log_{e}(7/2)

Solution

simplify

lo g_{e} (\frac{7}{2})

Solution

ln (7) - ln (2)

+1

Decimal Notation

1.25276 \dots

Solution steps

lo g_{e} (\frac{7}{2})

Apply log rule:

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

lo g_{e} (\frac{7}{2}) = lo g_{e} (7) - lo g_{e} (2)

= lo g_{e} (7) - lo g_{e} (2)

Apply log rule:

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

= ln (7) - lo g_{e} (2)

Apply log rule:

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

= ln (7) - ln (2)

Popular Examples

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\frac{9}{4} ln (\frac{9}{4})

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lo g_{a} (u^{8} v^{5})

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lo g_{4} (7) - lo g_{4} (3)

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\frac{7}{2} lo g_{10} (x) - lo g_{10} (y) + lo g_{10} (z)

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lo g_{9} (y^{3} z^{4}) - lo g_{9} (y^{2} z^{7})

Frequently Asked Questions (FAQ)

What is log_{e}(7/2) ?
The solution to log_{e}(7/2) is ln(7)-ln(2)