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Popular >

simplify 7ln(-1/3 ln(y))

Solution

simplify

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

Solution

- 7 ln (3) + 7 ln (ln (y))

Solution steps

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

Apply log rule:

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

7 ln (- \frac{1}{3} ln (y)) = 7 ln (\frac{1}{3}) + 7 ln (ln (y))

= 7 ln (\frac{1}{3}) + 7 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)

= 7 (ln (1) - ln (3)) + 7 ln (ln (y))

7 (ln (1) - ln (3)) = - 7 ln (3)

= - 7 ln (3) + 7 ln (ln (y))

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Frequently Asked Questions (FAQ)

What is 7ln(-1/3 ln(y)) ?
The solution to 7ln(-1/3 ln(y)) is -7ln(3)+7ln(ln(y))