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Popular >

simplify ln(8/(4/2))

Solution

simplify

ln (\frac{8}{\frac{4}{2}})

Solution

2 ln (2)

+1

Decimal Notation

1.38629 \dots

Solution steps

ln (\frac{8}{\frac{4}{2}})

Apply log rule:

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

ln (\frac{8}{\frac{4}{2}}) = ln (8) - ln (\frac{4}{2})

= ln (8) - ln (\frac{4}{2})

Apply log rule:

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

ln (\frac{4}{2}) = ln (4) - ln (2)

= ln (8) - (ln (4) - ln (2))

- (ln (4) - ln (2)) = - ln (2)

= ln (8) - ln (2)

ln (8) = 3 ln (2)

= 3 ln (2) - ln (2)

Add similar elements:

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

= 2 ln (2)

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Frequently Asked Questions (FAQ)

What is ln(8/(4/2)) ?
The solution to ln(8/(4/2)) is 2ln(2)