What is the answer to solvefor x,ln(y)=-3ln(x) ?

The answer to solvefor x,ln(y)=-3ln(x) is x=e^{-(ln(y))/3} {y= 1/(e^{9/4)}}

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solvefor x,ln(y)=-3ln(x)

solve for

x, ln (y) = - 3 ln (x)

x = e^{- \frac{l n ( y )}{3}} {y = \frac{1}{e ^{\frac{9}{4}}}}

Solution steps

ln (y) = - 3 ln (x)

Switch sides

- 3 ln (x) = ln (y)

Divide both sides by

- 3

ln (x) = - \frac{ln ( y )}{3}

Apply log rules

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

Verify Solutions:

x = e^{- \frac{l n ( y )}{3}} {y = \frac{1}{e ^{\frac{9}{4}}}}

The solution is

x = e^{- \frac{l n ( y )}{3}} {y = \frac{1}{e ^{\frac{9}{4}}}}

ln (3 x - 13) = 5

ln (3 x - 13) = 3

lo g_{x} (2) = 2.55

lo g_{10} (X) = 36466

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

What is the answer to solvefor x,ln(y)=-3ln(x) ?
The answer to solvefor x,ln(y)=-3ln(x) is x=e^{-(ln(y))/3} {y= 1/(e^{9/4)}}