What is the answer to 1/(log_{2)(x)}=5 ?

The answer to 1/(log_{2)(x)}=5 is x=\sqrt[5]{2}

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1/(log_{2)(x)}=5

\frac{1}{lo g _{2} ( x )} = 5

Decimal Notation

x = 1.14869 \dots

Solution steps

\frac{1}{lo g _{2} ( x )} = 5

Rewrite the equation with

lo g_{2} (x) = u

\frac{1}{u} = 5

Solve

\frac{1}{u} = 5 : u = \frac{1}{5}

u = \frac{1}{5}

Substitute back

u = lo g_{2} (x),

solve for

x

Solve

Verify Solutions:

True

The solution is

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

lo g_{e} (\frac{5}{x}) = 0.868

lo g_{10} (3 y - 1) = 0

lo g_{5} (x - 1) = 0

x, lo g_{a} (x + y) = 0

What is the answer to 1/(log_{2)(x)}=5 ?
The answer to 1/(log_{2)(x)}=5 is x=\sqrt[5]{2}
Solve for x: 1/(log_{2)(x)}=5
The solution is x=\sqrt[5]{2}