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Popular >

simplify ln(((5/3))/3)

Solution

simplify

ln (\frac{( \frac{5}{3} )}{3})

Solution

ln (5) - 2 ln (3)

+1

Decimal Notation

- 0.58778 \dots

Solution steps

ln (\frac{( \frac{5}{3} )}{3})

Apply log rule:

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

ln (\frac{( \frac{5}{3} )}{3}) = ln ((\frac{5}{3})) - ln (3)

= ln (\frac{5}{3}) - ln (3)

Apply log rule:

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

ln (\frac{5}{3}) = ln (5) - ln (3)

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

Add similar elements:

- ln (3) - ln (3) = - 2 ln (3)

= ln (5) - 2 ln (3)

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Frequently Asked Questions (FAQ)

What is ln(((5/3))/3) ?
The solution to ln(((5/3))/3) is ln(5)-2ln(3)