What is the answer to log_{y}(2)=8 ?

The answer to log_{y}(2)=8 is y=\sqrt[8]{2}

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log_{y}(2)=8

lo g_{y} (2) = 8

Solution steps

lo g_{y} (2) = 8

Apply log rules

\frac{1}{lo g _{2} ( y )} = 8

Multiply both sides by

lo g_{2} (y)

\frac{1}{lo g _{2} ( y )} lo g_{2} (y) = 8 lo g_{2} (y)

Simplify

1 = 8 lo g_{2} (y)

Switch sides

8 lo g_{2} (y) = 1

Divide both sides by

8

lo g_{2} (y) = \frac{1}{8}

Apply log rules

Verify Solutions:

True

The solution is

ln (x + 1) - ln (x - 5) = 3

0 = - \frac{ln ( - 3 ( 0 ) ^{2} + c )}{2}

lo g_{5} (2 (x^{3} + 5)) = 2

lo g_{- x - 1} (2 x^{2} - x + 1) = 2

lo g_{9} (2 x - 5) = 0.5

What is the answer to log_{y}(2)=8 ?
The answer to log_{y}(2)=8 is y=\sqrt[8]{2}
Solve for y: log_{y}(2)=8
The solution is y=\sqrt[8]{2}