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Popular >

simplify 3-ln(6)+ln(2)

Solution

simplify

3 - ln (6) + ln (2)

Solution

3 - ln (3)

+1

Decimal Notation

1.90138 \dots

Solution steps

3 - ln (6) + ln (2)

Apply log rule:

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

ln (2) - ln (6) = ln (\frac{2}{6})

= 3 + ln (\frac{2}{6})

Cancel the common factor:

2

= 3 + ln (\frac{1}{3})

Apply log rule:

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

= 3 - ln (3)

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Frequently Asked Questions (FAQ)

What is 3-ln(6)+ln(2) ?
The solution to 3-ln(6)+ln(2) is 3-ln(3)