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

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

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log_{t}(25)=2

lo g_{t} (25) = 2

t = 5

Solution steps

lo g_{t} (25) = 2

Apply log rules

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

Multiply both sides by

lo g_{25} (t)

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

Simplify

1 = 2 lo g_{25} (t)

Switch sides

2 lo g_{25} (t) = 1

Divide both sides by

2

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

Apply log rules

t = 5

Verify Solutions:

t = 5

True

The solution is

t = 5

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