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Popular >

simplify 3ln(+1/3 ln(y))

Solution

simplify

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

Solution

- 3 ln (3) + 3 ln (ln (y))

Solution steps

3 ln (\frac{1}{3} ln (y))

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

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

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

Apply log rule:

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

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

= 3 (ln (1) - ln (3)) + 3 ln (ln (y))

3 (ln (1) - ln (3)) = - 3 ln (3)

= - 3 ln (3) + 3 ln (ln (y))

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Frequently Asked Questions (FAQ)

What is 3ln(+1/3 ln(y)) ?
The solution to 3ln(+1/3 ln(y)) is -3ln(3)+3ln(ln(y))