What is the answer to log_{y}(64)=2 ?

The answer to log_{y}(64)=2 is y=8

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log_{y}(64)=2

lo g_{y} (64) = 2

y = 8

Solution steps

lo g_{y} (64) = 2

Apply log rules

\frac{1}{lo g _{64} ( y )} = 2

Multiply both sides by

lo g_{64} (y)

\frac{1}{lo g _{64} ( y )} lo g_{64} (y) = 2 lo g_{64} (y)

Simplify

1 = 2 lo g_{64} (y)

Switch sides

2 lo g_{64} (y) = 1

Divide both sides by

2

lo g_{64} (y) = \frac{1}{2}

Apply log rules

y = 8

Verify Solutions:

y = 8

True

The solution is

y = 8

0.86 = ln (x)

lo g_{10} (x^{2} - 6 x + 9) = 0

0.86 = ln (y)

lo g_{10} (2 x + 4) - 6 = lo g_{10} (6)

lo g_{10} (n) = 2