What is the answer to log_{10}(x)-2log_{10}(5x)=2 ?

The answer to log_{10}(x)-2log_{10}(5x)=2 is x= 1/2500

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log_{10}(x)-2log_{10}(5x)=2

lo g_{10} (x) - 2 lo g_{10} (5 x) = 2

x = \frac{1}{2500}

Decimal

x = 0.0004

Solution steps

lo g_{10} (x) - 2 lo g_{10} (5 x) = 2

Apply log rules

x = \frac{1}{2500}

Verify Solutions:

x = \frac{1}{2500}

True

The solution is

x = \frac{1}{2500}

- lo g_{6} (8 w) = 0

5 lo g_{3} (1) + lo g_{4} (x + 3) = 3

x^{1 + l o g_{5} (x)} = 25 x^{2}

lo g_{10} (x + 3) = 1 - lo g_{10} (x)

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

What is the answer to log_{10}(x)-2log_{10}(5x)=2 ?
The answer to log_{10}(x)-2log_{10}(5x)=2 is x= 1/2500
Solve for x: log_{10}(x)-2log_{10}(5x)=2
The solution is x= 1/2500