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Popular >

simplify log_{e}(9/4)

Solution

simplify

lo g_{e} (\frac{9}{4})

Solution

2 ln (3) - 2 ln (2)

+1

Decimal Notation

0.81093 \dots

Solution steps

lo g_{e} (\frac{9}{4})

Apply log rule:

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

lo g_{e} (\frac{9}{4}) = lo g_{e} (9) - lo g_{e} (4)

= lo g_{e} (9) - lo g_{e} (4)

Apply log rule:

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

= ln (9) - lo g_{e} (4)

Apply log rule:

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

= ln (9) - ln (4)

ln (9) = 2 ln (3)

ln (4) = 2 ln (2)

= 2 ln (3) - 2 ln (2)

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\frac{ln ( 46 ) - ln ( 4 )}{6 ln ( 2 )}

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Frequently Asked Questions (FAQ)

What is log_{e}(9/4) ?
The solution to log_{e}(9/4) is 2ln(3)-2ln(2)