What is the answer to log_{10}(10x)=-2 ?

The answer to log_{10}(10x)=-2 is x= 1/1000

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log_{10}(10x)=-2

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

x = \frac{1}{1000}

Decimal Notation

x = 0.001

Solution steps

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}

lo g_{10} (x) = 1 + lo g_{10} (22 - x)

2 lo g_{10} (x) = \frac{3 + lo g _{10} ( x )}{10}

lo g_{2} (x^{2}) = 1

lo g_{x} (8) + lo g_{x} (4) = 5

lo g_{10} ((x + 3)^{2}) - 2 = lo g_{10} (\frac{1}{( x ^{2} )})

What is the answer to log_{10}(10x)=-2 ?
The answer to log_{10}(10x)=-2 is x= 1/1000
Solve for x: log_{10}(10x)=-2
The solution is x= 1/1000