What is ln(xy)-x^4sin(6x)+xy ?

The solution to ln(xy)-x^4sin(6x)+xy is ln(x)+ln(y)-x^4sin(6x)+xy

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simplify ln(xy)-x^4sin(6x)+xy

simplify

ln (x y) - x^{4} sin (6 x) + x y

ln (x) + ln (y) - x^{4} sin (6 x) + x y

Solution steps

ln (x y) - x^{4} sin (6 x) + x y

Apply log rule:

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

ln (x y) = ln (x) + ln (y)

= ln (x) + ln (y) - x^{4} sin (6 x) + x y

ln (6 \cdot 1 0^{5})

80 ln (\frac{36185125}{289759})

ln ((1 + x)^{3} (2 x - 5)^{6})

2 (ln (x) - ln (x + 3) - ln (x - 3))

ln (\frac{7 x + 1}{2})

What is ln(xy)-x^4sin(6x)+xy ?
The solution to ln(xy)-x^4sin(6x)+xy is ln(x)+ln(y)-x^4sin(6x)+xy