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Popular >

simplify ln(-1/pi ln(-1))

Solution

simplify

ln (- \frac{1}{π} ln (- 1))

Solution

ln (ln (- 1)) - ln (π)

Solution steps

ln (- \frac{1}{π} ln (- 1))

Apply log rule:

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

ln (- \frac{1}{π} ln (- 1)) = ln (\frac{1}{π}) + ln (ln (- 1))

= ln (\frac{1}{π}) + ln (ln (- 1))

Apply log rule:

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

ln (\frac{1}{π}) = ln (1) - ln (π)

= ln (1) - ln (π) + ln (ln (- 1))

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (π) + ln (ln (- 1))

0 - ln (π) + ln (ln (- 1)) = - ln (π) + ln (ln (- 1))

= ln (ln (- 1)) - ln (π)

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Frequently Asked Questions (FAQ)

What is ln(-1/pi ln(-1)) ?
The solution to ln(-1/pi ln(-1)) is ln(ln(-1))-ln(pi)