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Popular >

simplify ln(4)-ln(1/4)

Solution

simplify

ln (4) - ln (\frac{1}{4})

Solution

4 ln (2)

+1

Decimal Notation

2.77258 \dots

Solution steps

ln (4) - ln (\frac{1}{4})

Apply log rule:

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

ln (\frac{1}{4}) = ln (1) - ln (4)

= ln (4) - (ln (1) - ln (4))

- (ln (1) - ln (4)) = 2 ln (2)

= ln (4) + 2 ln (2)

ln (4) = 2 ln (2)

= 2 ln (2) + 2 ln (2)

Add similar elements:

2 ln (2) + 2 ln (2) = 4 ln (2)

= 4 ln (2)

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Frequently Asked Questions (FAQ)

What is ln(4)-ln(1/4) ?
The solution to ln(4)-ln(1/4) is 4ln(2)