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Popular >

simplify ln(4/5 (u+2))

Solution

simplify

ln (\frac{4}{5} (u + 2))

Solution

2 ln (2) - ln (5) + ln (u + 2)

Solution steps

ln (\frac{4}{5} (u + 2))

Apply log rule:

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

ln (\frac{4}{5} (u + 2)) = ln (\frac{4}{5}) + ln (u + 2)

= ln (\frac{4}{5}) + ln (u + 2)

Apply log rule:

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

ln (\frac{4}{5}) = ln (4) - ln (5)

= ln (4) - ln (5) + ln (u + 2)

ln (4) = 2 ln (2)

= 2 ln (2) - ln (5) + ln (u + 2)

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Frequently Asked Questions (FAQ)

What is ln(4/5 (u+2)) ?
The solution to ln(4/5 (u+2)) is 2ln(2)-ln(5)+ln(u+2)