What is ln((x^2+1)2(x^5-2)) ?

The solution to ln((x^2+1)2(x^5-2)) is ln(x^2+1)+ln(2)+ln(x^5-2)

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simplify ln((x^2+1)2(x^5-2))

simplify

ln ((x^{2} + 1) 2 (x^{5} - 2))

ln (x^{2} + 1) + ln (2) + ln (x^{5} - 2)

Solution steps

ln ((x^{2} + 1) \cdot 2 (x^{5} - 2))

Apply log rule:

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

ln ((x^{2} + 1) \cdot 2 (x^{5} - 2)) = ln (x^{2} + 1) + ln (2) + ln (x^{5} - 2)

= ln (x^{2} + 1) + ln (2) + ln (x^{5} - 2)

ln (4 x^{4}) - ln (2)

ln ((e^{- y} + 1) (1 + cos (x))) + y

ln (2 i^{8 i})

ln (e^{3} + e^{- 3}) - ln (2)

ln (\frac{100}{65})

What is ln((x^2+1)2(x^5-2)) ?
The solution to ln((x^2+1)2(x^5-2)) is ln(x^2+1)+ln(2)+ln(x^5-2)