What is the answer to solvefor y,log_{y}(137)=x ?

The answer to solvefor y,log_{y}(137)=x is y=137^{1/x} {x 0}

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solvefor y,log_{y}(137)=x

solve for

y, lo g_{y} (137) = x

y = 13 7^{\frac{1}{x}} {x < 0 or x > 0}

Solution steps

lo g_{y} (137) = x

Apply log rules

\frac{1}{lo g _{137} ( y )} = x

Multiply both sides by

lo g_{137} (y)

\frac{1}{lo g _{137} ( y )} lo g_{137} (y) = x lo g_{137} (y)

Simplify

1 = x lo g_{137} (y)

Switch sides

x lo g_{137} (y) = 1

Divide both sides by

x

lo g_{137} (y) = \frac{1}{x}

Apply log rules

y = 13 7^{\frac{1}{x}}

Verify Solutions:

y = 13 7^{\frac{1}{x}} {x < 0 or x > 0}

The solution is

y = 13 7^{\frac{1}{x}} {x < 0 or x > 0}

lo g_{2} (2 x + 16) = 2

3 ln^{2} (x) + ln (x) = 2

5 = ln (x)

ln (x - 2) = 3

lo g_{x} (\frac{1}{64}) = 3

What is the answer to solvefor y,log_{y}(137)=x ?
The answer to solvefor y,log_{y}(137)=x is y=137^{1/x} {x<0\lor x>0}