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Popular >

simplify ln(125/27)

Solution

simplify

ln (\frac{125}{27})

Solution

3 ln (5) - 3 ln (3)

+1

Decimal Notation

1.53247 \dots

Solution steps

ln (\frac{125}{27})

Apply log rule:

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

ln (\frac{125}{27}) = ln (125) - ln (27)

= ln (125) - ln (27)

ln (125) = 3 ln (5)

ln (27) = 3 ln (3)

= 3 ln (5) - 3 ln (3)

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Frequently Asked Questions (FAQ)

What is ln(125/27) ?
The solution to ln(125/27) is 3ln(5)-3ln(3)