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Popular >

simplify 2000ln(5/4)

Solution

simplify

2000 ln (\frac{5}{4})

Solution

2000 (ln (5) - 2 ln (2))

+1

Decimal Notation

446.28710 \dots

Solution steps

2000 ln (\frac{5}{4})

Apply log rule:

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

ln (\frac{5}{4}) = ln (5) - ln (4)

= 2000 (ln (5) - ln (4))

ln (4) = 2 ln (2)

= 2000 (ln (5) - 2 ln (2))

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Frequently Asked Questions (FAQ)

What is 2000ln(5/4) ?
The solution to 2000ln(5/4) is 2000(ln(5)-2ln(2))