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Popular >

simplify ln(4 1/2)

Solution

simplify

ln (4 \frac{1}{2})

Solution

2 ln (3) - ln (2)

+1

Decimal Notation

1.50407 \dots

Solution steps

ln (4 \frac{1}{2})

Convert mixed numbers to improper fractions:

4 \frac{1}{2} = \frac{9}{2}

= ln (\frac{9}{2})

Apply log rule:

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

ln (\frac{9}{2}) = ln (9) - ln (2)

= ln (9) - ln (2)

ln (9) = 2 ln (3)

= 2 ln (3) - ln (2)

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Frequently Asked Questions (FAQ)

What is ln(4 1/2) ?
The solution to ln(4 1/2) is 2ln(3)-ln(2)