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

The answer to solvefor x,y=ln(sqrt(xy)) is x=(e^{2y})/y {y 0}

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solvefor x,y=ln(sqrt(xy))

solve for

x, y = ln (x y)

x = \frac{e ^{2 y}}{y} {y < 0 or y > 0}

Solution steps

y = ln (x y)

Apply log rules

e^{y} = x y

Solve

e^{y} = x y : x = \frac{e ^{2 y}}{y} {y < 0 or y > 0}

x = \frac{e ^{2 y}}{y} {y < 0 or y > 0}

lo g_{4} (x - 6) + lo g_{4} (x - 6) = 1

lo g_{x} (0.125) = - 3

lo g_{10} (5) + lo g_{10} (4 x + 1) = 0

ln (7 x) - 6 ln (x^{2}) = ln (2)

lo g_{x} (3125) = - 5

What is the answer to solvefor x,y=ln(sqrt(xy)) ?
The answer to solvefor x,y=ln(sqrt(xy)) is x=(e^{2y})/y {y<0\lor y>0}