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

The answer to solvefor y,x=ln(x/y) is y= x/(e^x) {x 0}

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solvefor y,x=ln(x/y)

solve for

y, x = ln (\frac{x}{y})

y = \frac{x}{e ^{x}} {x < 0 or x > 0}

Solution steps

x = ln (\frac{x}{y})

Apply log rules

e^{x} = \frac{x}{y}

Multiply both sides by

y

e^{x} y = \frac{x}{y} y

Simplify

e^{x} y = x

Solve

e^{x} y = x : y = \frac{x}{e ^{x}}

y = \frac{x}{e ^{x}}

Verify Solutions:

y = \frac{x}{e ^{x}} {x < 0 or x > 0}

The solution is

y = \frac{x}{e ^{x}} {x < 0 or x > 0}

lo g_{10} (6 x) = - lo g_{10} (3 x)

lo g_{3} (9 x + 2) = 4

lo g_{2^{2}} (x^{2}) = 8

x, 0 = lo g_{10} (x + h)

2 lo g_{3} (x) = 4 lo g_{3} (8)

What is the answer to solvefor y,x=ln(x/y) ?
The answer to solvefor y,x=ln(x/y) is y= x/(e^x) {x<0\lor x>0}