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Popular >

simplify 64*ln(4/25)

Solution

simplify

64 \cdot ln (\frac{4}{25})

Solution

64 (2 ln (2) - 2 ln (5))

+1

Decimal Notation

- 117.28521 \dots

Solution steps

64 ln (\frac{4}{25})

Apply log rule:

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

ln (\frac{4}{25}) = ln (4) - ln (25)

= 64 (ln (4) - ln (25))

ln (4) = 2 ln (2)

ln (25) = 2 ln (5)

= 64 (2 ln (2) - 2 ln (5))

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Frequently Asked Questions (FAQ)

What is 64*ln(4/25) ?
The solution to 64*ln(4/25) is 64(2ln(2)-2ln(5))