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

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

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log_{b}(25)=2

lo g_{b} (25) = 2

b = 5

Solution steps

lo g_{b} (25) = 2

Apply log rules

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

Multiply both sides by

lo g_{25} (b)

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

Simplify

1 = 2 lo g_{25} (b)

Switch sides

2 lo g_{25} (b) = 1

Divide both sides by

2

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

Apply log rules

b = 5

Verify Solutions:

b = 5

True

The solution is

b = 5

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