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Popular >

simplify ln(64/1000)*5730

Solution

simplify

ln (\frac{64}{1000}) \cdot 5730

Solution

5730 (6 ln (2) - 3 ln (10))

+1

Decimal Notation

- 15751.03768 \dots

Solution steps

ln (\frac{64}{1000}) \cdot 5730

Apply log rule:

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

ln (\frac{64}{1000}) = ln (64) - ln (1000)

= 5730 (ln (64) - ln (1000))

ln (64) = 6 ln (2)

ln (1000) = 3 ln (10)

= 5730 (6 ln (2) - 3 ln (10))

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Frequently Asked Questions (FAQ)

What is ln(64/1000)*5730 ?
The solution to ln(64/1000)*5730 is 5730(6ln(2)-3ln(10))