What is the answer to log_{x}(0.001)=-3 ?

The answer to log_{x}(0.001)=-3 is x=10

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log_{x}(0.001)=-3

lo g_{x} (0.001) = - 3

x = 10

Solution steps

lo g_{x} (0.001) = - 3

Apply log rules

\frac{1}{lo g _{0.001} ( x )} = - 3

Multiply both sides by

lo g_{0.001} (x)

\frac{1}{lo g _{0.001} ( x )} lo g_{0.001} (x) = - 3 lo g_{0.001} (x)

Simplify

1 = - 3 lo g_{0.001} (x)

Switch sides

- 3 lo g_{0.001} (x) = 1

Divide both sides by

- 3

lo g_{0.001} (x) = - \frac{1}{3}

Apply log rules

x = 10

Verify Solutions:

x = 10

True

The solution is

x = 10

lo g_{2} (x + 5) + lo g_{2} (x - 5) = 6

x, z = ln (x y)

lo g_{10} (x) = 4.9

\frac{ln ( 2 x )}{ln ( 4 x )} = 4

lo g_{x} (4) = \frac{- 1}{2}

What is the answer to log_{x}(0.001)=-3 ?
The answer to log_{x}(0.001)=-3 is x=10
Solve for x: log_{x}(0.001)=-3
The solution is x=10