What is the answer to 2log_{10}(x)-log_{10}(4x)=-2 ?

The answer to 2log_{10}(x)-log_{10}(4x)=-2 is x= 1/25

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2log_{10}(x)-log_{10}(4x)=-2

2 lo g_{10} (x) - lo g_{10} (4 x) = - 2

x = \frac{1}{25}

Decimal Notation

x = 0.04

Solution steps

2 lo g_{10} (x) - lo g_{10} (4 x) = - 2

Apply log rules

x = \frac{1}{25}

Verify Solutions:

x = \frac{1}{25}

True

The solution is

x = \frac{1}{25}

lo g_{10} (2 x + 4) = 2

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

x, - ln (y) = ln (x) + c

lo g_{4} (9 x - 4) = 2

3 ln (4 x + 8) - 13 = - 22

What is the answer to 2log_{10}(x)-log_{10}(4x)=-2 ?
The answer to 2log_{10}(x)-log_{10}(4x)=-2 is x= 1/25
Solve for x: 2log_{10}(x)-log_{10}(4x)=-2
The solution is x= 1/25