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Popular >

simplify ln(1/5)-ln(1/4)

Solution

simplify

ln (\frac{1}{5}) - ln (\frac{1}{4})

Solution

ln (\frac{4}{5})

+1

Decimal Notation

- 0.22314 \dots

Solution steps

ln (\frac{1}{5}) - ln (\frac{1}{4})

Apply log rule:

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

ln (\frac{1}{5}) - ln (\frac{1}{4}) = ln (\frac{\frac{1}{5}}{\frac{1}{4}})

= ln (\frac{\frac{1}{5}}{\frac{1}{4}})

\frac{\frac{1}{5}}{\frac{1}{4}} = \frac{4}{5}

= ln (\frac{4}{5})

Popular Examples

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ln (5 x^{2} - 6) - ln (x^{2})

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ln (\frac{2950000}{750000})

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simplify ln((1.4)/1)+3ln((1.8)/(1.4))simplify

ln (\frac{1.4}{1}) + 3 ln (\frac{1.8}{1.4})

Frequently Asked Questions (FAQ)

What is ln(1/5)-ln(1/4) ?
The solution to ln(1/5)-ln(1/4) is ln(4/5)