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Popular >

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

Solution

simplify

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

Solution

2 ln (2)

+1

Decimal Notation

1.38629 \dots

Solution steps

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

ln (1) = 0

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

= 0 + 2 ln (2)

0 + 2 ln (2) = 2 ln (2)

= 2 ln (2)

Popular Examples

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5 lo g_{10} (x) + 4 lo g_{10} (x - 9)

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lo g_{5} (8) - lo g_{5} (x)

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simplify 2ln(3/2)simplify

2 ln (\frac{3}{2})

simplify 1/2 log_{10}(s)+3log_{10}(m)simplify

\frac{1}{2} lo g_{10} (s) + 3 lo g_{10} (m)

Frequently Asked Questions (FAQ)

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