What is the answer to 3log_{10}(10x)=-6 ?

The answer to 3log_{10}(10x)=-6 is x= 1/1000

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3log_{10}(10x)=-6

3 lo g_{10} (10 x) = - 6

x = \frac{1}{1000}

Decimal

x = 0.001

Solution steps

3 lo g_{10} (10 x) = - 6

Divide both sides by

3

lo g_{10} (10 x) = - 2

Apply log rules

10 x = \frac{1}{100}

Solve

10 x = \frac{1}{100} : x = \frac{1}{1000}

x = \frac{1}{1000}

Verify Solutions:

x = \frac{1}{1000}

True

The solution is

x = \frac{1}{1000}

lo g_{125} (x) = - \frac{2}{3}

lo g_{2} (7 x) = 3

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

20 lo g_{10} (\frac{x}{1}) = a

lo g_{105} (175 + 2 x) = 0

What is the answer to 3log_{10}(10x)=-6 ?
The answer to 3log_{10}(10x)=-6 is x= 1/1000
Solve for x: 3log_{10}(10x)=-6
The solution is x= 1/1000