What is the answer to log_{x}(2)=12 ?

The answer to log_{x}(2)=12 is x=\sqrt[12]{2}

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log_{x}(2)=12

lo g_{x} (2) = 12

Decimal Notation

x = 1.05946 \dots

Solution steps

lo g_{x} (2) = 12

Apply log rules

\frac{1}{lo g _{2} ( x )} = 12

Multiply both sides by

lo g_{2} (x)

\frac{1}{lo g _{2} ( x )} lo g_{2} (x) = 12 lo g_{2} (x)

Simplify

1 = 12 lo g_{2} (x)

Switch sides

12 lo g_{2} (x) = 1

Divide both sides by

12

lo g_{2} (x) = \frac{1}{12}

Apply log rules

Verify Solutions:

True

The solution is

ln (t) = 1.56 + 0.82 \cdot ln (11)

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

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

lo g_{x} (3) = 2.23

lo g_{4} (2 x - 3) + lo g_{4} (5 - x) = 2

What is the answer to log_{x}(2)=12 ?
The answer to log_{x}(2)=12 is x=\sqrt[12]{2}
Solve for x: log_{x}(2)=12
The solution is x=\sqrt[12]{2}