What is the answer to log_{y}(25)=2 ?

The answer to log_{y}(25)=2 is y=5

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log_{y}(25)=2

lo g_{y} (25) = 2

y = 5

Solution steps

lo g_{y} (25) = 2

Apply log rules

\frac{1}{lo g _{25} ( y )} = 2

Multiply both sides by

lo g_{25} (y)

\frac{1}{lo g _{25} ( y )} lo g_{25} (y) = 2 lo g_{25} (y)

Simplify

1 = 2 lo g_{25} (y)

Switch sides

2 lo g_{25} (y) = 1

Divide both sides by

2

lo g_{25} (y) = \frac{1}{2}

Apply log rules

y = 5

Verify Solutions:

y = 5

True

The solution is

y = 5

ln (x) + ln (7 x) = 4

- ln (3 - x) = ln (2 + x)

lo g_{5} (x^{2} - 11 x + 49) = 2

y, 2 ln (y) = ln (y) + 1

lo g_{k} (3) = \frac{14}{25}