What is the answer to solvefor y,log_{y}(x)=-11 ?

The answer to solvefor y,log_{y}(x)=-11 is y=e^{-(ln(x))/(11)} {x>0}

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solvefor y,log_{y}(x)=-11

solve for

y, lo g_{y} (x) = - 11

y = e^{- \frac{l n ( x )}{11}} {x > 0}

Solution steps

lo g_{y} (x) = - 11

Apply log rules

\frac{ln ( x )}{ln ( y )} = - 11

Multiply both sides by

ln (y)

\frac{ln ( x )}{ln ( y )} ln (y) = - 11 ln (y)

Simplify

ln (x) = - 11 ln (y)

Switch sides

- 11 ln (y) = ln (x)

Divide both sides by

- 11

ln (y) = - \frac{ln ( x )}{11}

Apply log rules

y = e^{- \frac{l n ( x )}{11}}

Verify Solutions:

y = e^{- \frac{l n ( x )}{11}} {x > 0}

The solution is

y = e^{- \frac{l n ( x )}{11}} {x > 0}

lo g_{x} (2 x + 24) = 2

lo g_{2} (2 x + 5) = 4

lo g_{6} (x) = - 4

2 ln (x) + 1 = ln (2 x)

lo g_{3} (x + 2) = 0

What is the answer to solvefor y,log_{y}(x)=-11 ?
The answer to solvefor y,log_{y}(x)=-11 is y=e^{-(ln(x))/(11)} {x>0}