What is the answer to solvefor x,3x+y+ln(xy)=C ?

The answer to solvefor x,3x+y+ln(xy)=C is x=(\W(3/(e^{y-C)y}))/3

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solvefor x,3x+y+ln(xy)=C

solve for

x, 3 x + y + ln (x y) = C

x = \frac{W ( \frac{3}{e ^{y - C} y} )}{3}

Solution steps

3 x + y + ln (x y) = C

Move

3 x

to the right side

y + ln (x y) = C - 3 x

Move

y

to the right side

ln (x y) = C - 3 x - y

f (x) = g (x),

then

a^{f (x)} = a^{g (x)}

e^{l n (x y)} = e^{C - 3 x - y}

Simplify

e^{l n (x y)} : x y

x y = e^{C - 3 x - y}

Solve

x y = e^{C - 3 x - y} : x = \frac{W ( \frac{3}{e ^{y - C} y} )}{3}

x = \frac{W ( \frac{3}{e ^{y - C} y} )}{3}

x, ln (x) = 2 t + 4

ln (3 x - 10) = 6

(x) = lo g_{0.5} (x - 2) + 1

lo g_{3} (5 x - 3) = 5

lo g_{2} (x + 20) = lo g_{2} (2)

What is the answer to solvefor x,3x+y+ln(xy)=C ?
The answer to solvefor x,3x+y+ln(xy)=C is x=(\W(3/(e^{y-C)y}))/3