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

The answer to solvefor x,ln(y)=-2ln(x) is x=e^{-(ln(y))/2} {y= 1/(e^{4/3)}}

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solvefor x,ln(y)=-2ln(x)

solve for

x, ln (y) = - 2 ln (x)

x = e^{- \frac{l n ( y )}{2}} {y = \frac{1}{e ^{\frac{4}{3}}}}

Solution steps

ln (y) = - 2 ln (x)

Switch sides

- 2 ln (x) = ln (y)

Divide both sides by

- 2

ln (x) = - \frac{ln ( y )}{2}

Apply log rules

x = e^{- \frac{l n ( y )}{2}}

Verify Solutions:

x = e^{- \frac{l n ( y )}{2}} {y = \frac{1}{e ^{\frac{4}{3}}}}

The solution is

x = e^{- \frac{l n ( y )}{2}} {y = \frac{1}{e ^{\frac{4}{3}}}}

lo g_{x} (128) = 2.33333

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ln (x + 6) - ln (x - 3) = 1

lo g_{3} (4 x - 1) - 2 lo g_{3} (x) = 1

lo g_{3} (x + 3) + lo g_{3} (4 x + 7) = 2

What is the answer to solvefor x,ln(y)=-2ln(x) ?
The answer to solvefor x,ln(y)=-2ln(x) is x=e^{-(ln(y))/2} {y= 1/(e^{4/3)}}