What is the answer to solvefor x,ln(y)=ln(x)-x ?

The answer to solvefor x,ln(y)=ln(x)-x is x=-\W(-y)

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solvefor x,ln(y)=ln(x)-x

solve for

x, ln (y) = ln (x) - x

x = - W (- y)

Solution steps

ln (y) = ln (x) - x

Switch sides

ln (x) - x = ln (y)

Move

x

to the right side

ln (x) = ln (y) + x

f (x) = g (x),

then

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

e^{l n (x)} = e^{l n (y) + x}

Simplify

e^{l n (x)} : x

Simplify

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

x = e^{x} y

Solve

x = e^{x} y : x = - W (- y)

x = - W (- y)

Verify Solutions:

x = - W (- y)

True

The solution is

x = - W (- y)

0.31 = ln (x)

ln (3 x + 5) = 4

lo g_{2} (x) + lo g_{2} (6) = 3

lo g_{10} (x) - lo g_{10} (x + 1) = 1

10 = \frac{ln ( 2 )}{ln ( 1 + x )}

What is the answer to solvefor x,ln(y)=ln(x)-x ?
The answer to solvefor x,ln(y)=ln(x)-x is x=-\W(-y)