What is the answer to solvefor x,y=ln^2(x) ?

The answer to solvefor x,y=ln^2(x) is x=e^{sqrt(y)} {No Solution},x=e^{-sqrt(y)}

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solvefor x,y=ln^2(x)

solve for

x, y = ln^{2} (x)

x = e^{y} {No Solution}, x = e^{- y}

Solution steps

y = ln^{2} (x)

Rewrite the equation with

ln (x) = u

y = u^{2}

Solve

y = u^{2} : u = y, u = - y

u = y, u = - y

Substitute back

u = ln (x),

solve for

x

Solve

ln (x) = y : x = e^{y}

Solve

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

x = e^{y}, x = e^{- y}

Verify Solutions:

x = e^{y} {No Solution}, x = e^{- y}

True

The solutions are

x = e^{y} {No Solution}, x = e^{- y}

lo g_{3} (5 - x) = 4

64 ln (2 b) ln (8 b) = 22

x - 3 ln (x) = ln (5)

- 7 + ln (2 x) = 4

lo g_{10} (x^{3} 20000) = 2

What is the answer to solvefor x,y=ln^2(x) ?
The answer to solvefor x,y=ln^2(x) is x=e^{sqrt(y)} {No Solution},x=e^{-sqrt(y)}