What is the answer to log_{x}(2)=6 ?

The answer to log_{x}(2)=6 is x=\sqrt[6]{2}

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log_{x}(2)=6

lo g_{x} (2) = 6

Decimal Notation

x = 1.12246 \dots

Solution steps

lo g_{x} (2) = 6

Apply log rules

\frac{1}{lo g _{2} ( x )} = 6

Multiply both sides by

lo g_{2} (x)

\frac{1}{lo g _{2} ( x )} lo g_{2} (x) = 6 lo g_{2} (x)

Simplify

1 = 6 lo g_{2} (x)

Switch sides

6 lo g_{2} (x) = 1

Divide both sides by

6

lo g_{2} (x) = \frac{1}{6}

Apply log rules

Verify Solutions:

True

The solution is

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

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

lo g_{10} (x) = 1.65

lo g_{x} (121) = 11

lo g_{10} (x) = 1.53

What is the answer to log_{x}(2)=6 ?
The answer to log_{x}(2)=6 is x=\sqrt[6]{2}
Solve for x: log_{x}(2)=6
The solution is x=\sqrt[6]{2}