What is the answer to log_{a}(2)=1 ?

The answer to log_{a}(2)=1 is a=2

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log_{a}(2)=1

lo g_{a} (2) = 1

a = 2

Solution steps

lo g_{a} (2) = 1

Apply log rules

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

Multiply both sides by

lo g_{2} (a)

\frac{1}{lo g _{2} ( a )} lo g_{2} (a) = 1 \cdot lo g_{2} (a)

Simplify

1 = lo g_{2} (a)

Apply log rules

2 = a

Switch sides

a = 2

Verify Solutions:

a = 2

True

The solution is

a = 2

lo g_{2} (x + 2) = 0

lo g_{4} (4 x - 8) = 3

- lo g_{10} (x) = 2

2 ln (x) = ln (x)

9 = lo g_{3} (x - 272) + 3