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Popular >

simplify 1-ln(6)+ln(3)

Solution

simplify

1 - ln (6) + ln (3)

Solution

1 - ln (2)

+1

Solution steps

1 - ln (6) + ln (3)

Apply log rule:

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

ln (3) - ln (6) = ln (\frac{3}{6})

= 1 + ln (\frac{3}{6})

Cancel the common factor:

3

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

Apply log rule:

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

= 1 - ln (2)

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Frequently Asked Questions (FAQ)

What is 1-ln(6)+ln(3) ?
The solution to 1-ln(6)+ln(3) is 1-ln(2)