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

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

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1=log_{x}(2)

1 = lo g_{x} (2)

x = 2

Solution steps

1 = lo g_{x} (2)

Apply log rules

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

Multiply both sides by

lo g_{2} (x)

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

Simplify

lo g_{2} (x) = 1

Apply log rules

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

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

lo g_{e} (1) = ln (x)

- ln (x) = 2.32

- ln (x) = 2.38

lo g_{2} (x) = 8.16