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

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

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log_{x}(2)=1

lo g_{x} (2) = 1

x = 2

Solution steps

lo g_{x} (2) = 1

Apply log rules

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

Multiply both sides by

lo g_{2} (x)

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

Simplify

1 = lo g_{2} (x)

Apply log rules

2 = x

Switch sides

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

lo g_{2} (lo g_{x} (4)) = 1

1 = ln (x)

lo g_{10} (4 x - 8) = 2

lo g_{4} (x) = \frac{1}{2}

lo g_{2} (2 x + 1) = 3