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Popular >

simplify ln(10)-ln(20)

Solution

simplify

ln (10) - ln (20)

Solution

- ln (2)

+1

Decimal Notation

- 0.69314 \dots

Solution steps

ln (10) - ln (20)

Apply log rule:

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

ln (10) - ln (20) = ln (\frac{10}{20})

= ln (\frac{10}{20})

Cancel the common factor:

10

= 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(10)-ln(20) ?
The solution to ln(10)-ln(20) is -ln(2)