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Popular >

simplify ln((m/8)(p-9))

Solution

simplify

ln ((\frac{m}{8}) (p - 9))

Solution

ln (m) - 3 ln (2) + ln (p - 9)

Solution steps

ln ((\frac{m}{8}) (p - 9))

Apply log rule:

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

ln ((\frac{m}{8}) (p - 9)) = ln (\frac{m}{8}) + ln (p - 9)

= ln (\frac{m}{8}) + ln (p - 9)

Apply log rule:

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

ln (\frac{m}{8}) = ln (m) - ln (8)

= ln (m) - ln (8) + ln (p - 9)

ln (8) = 3 ln (2)

= ln (m) - 3 ln (2) + ln (p - 9)

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Frequently Asked Questions (FAQ)

What is ln((m/8)(p-9)) ?
The solution to ln((m/8)(p-9)) is ln(m)-3ln(2)+ln(p-9)