What is the answer to solvefor x,log_{x}(y)=5 ?

The answer to solvefor x,log_{x}(y)=5 is x=e^{(ln(y))/5} {0 1}

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solvefor x,log_{x}(y)=5

solve for

x, lo g_{x} (y) = 5

x = e^{\frac{l n ( y )}{5}} {0 < y < 1 or y > 1}

Solution steps

lo g_{x} (y) = 5

Apply log rules

\frac{ln ( y )}{ln ( x )} = 5

Multiply both sides by

ln (x)

\frac{ln ( y )}{ln ( x )} ln (x) = 5 ln (x)

Simplify

ln (y) = 5 ln (x)

Switch sides

5 ln (x) = ln (y)

Divide both sides by

5

ln (x) = \frac{ln ( y )}{5}

Apply log rules

x = e^{\frac{l n ( y )}{5}}

Verify Solutions:

x = e^{\frac{l n ( y )}{5}} {0 < y < 1 or y > 1}

The solution is

x = e^{\frac{l n ( y )}{5}} {0 < y < 1 or y > 1}

x, - 1000000 = ln (x) - x

x, lo g_{x} (y) = 0

lo g_{3} (x^{2}) + lo g_{3} (9) = 4

lo g_{2 x} (16) = 2

lo g_{6} (x) + lo g_{6} (5 x - 1) = 1

What is the answer to solvefor x,log_{x}(y)=5 ?
The answer to solvefor x,log_{x}(y)=5 is x=e^{(ln(y))/5} {0<y<1\lor y>1}