What is the answer to log_{b}(15)=1 ?

The answer to log_{b}(15)=1 is b=15

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log_{b}(15)=1

lo g_{b} (15) = 1

b = 15

Solution steps

lo g_{b} (15) = 1

Apply log rules

\frac{1}{lo g _{15} ( b )} = 1

Multiply both sides by

lo g_{15} (b)

\frac{1}{lo g _{15} ( b )} lo g_{15} (b) = 1 \cdot lo g_{15} (b)

Simplify

1 = lo g_{15} (b)

Apply log rules

15 = b

Switch sides

b = 15

Verify Solutions:

b = 15

True

The solution is

b = 15

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