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Popular >

simplify ln(5)-ln(10)

Solution

simplify

ln (5) - ln (10)

Solution

- ln (2)

+1

Decimal Notation

- 0.69314 \dots

Solution steps

ln (5) - ln (10)

Apply log rule:

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

ln (5) - ln (10) = ln (\frac{5}{10})

= ln (\frac{5}{10})

Cancel the common factor:

5

= ln (\frac{1}{2})

Apply log rule:

lo g_{a} (\frac{1}{x}) = - lo g_{a} (x)

= - ln (2)

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Frequently Asked Questions (FAQ)

What is ln(5)-ln(10) ?
The solution to ln(5)-ln(10) is -ln(2)