What is the answer to log_{x}(2)=-3 ?

The answer to log_{x}(2)=-3 is x= 1/(\sqrt[3]{2)}

Solve for x: log_{x}(2)=-3

The solution is x= 1/(\sqrt[3]{2)}

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lo g_{x} (2) = - 3

Decimal Notation

x = 0.79370 \dots

Solution steps

lo g_{x} (2) = - 3

Apply log rules

\frac{1}{lo g _{2} ( x )} = - 3

Multiply both sides by

lo g_{2} (x)

\frac{1}{lo g _{2} ( x )} lo g_{2} (x) = - 3 lo g_{2} (x)

Simplify

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

Switch sides

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

Divide both sides by

- 3

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

Apply log rules

Verify Solutions:

True

The solution is

lo g_{a} (36) = 2

lo g_{10} (x) + y (3) = 2

x, ln (v) = - ln (x)

lo g_{10} (x) = 10 + lo g_{10} (4)

lo g_{2} (x) = \frac{1}{3}

What is the answer to log_{x}(2)=-3 ?
The answer to log_{x}(2)=-3 is x= 1/(\sqrt[3]{2)}
Solve for x: log_{x}(2)=-3
The solution is x= 1/(\sqrt[3]{2)}