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

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

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3=-log_{10}(x)

3 = - lo g_{10} (x)

x = \frac{1}{1000}

Decimal Notation

x = 0.001

Solution steps

3 = - lo g_{10} (x)

Move

lo g_{10} (x)

to the left side

3 + lo g_{10} (x) = 0

Move

3

to the right side

lo g_{10} (x) = - 3

Apply log rules

x = \frac{1}{1000}

Verify Solutions:

x = \frac{1}{1000}

True

The solution is

x = \frac{1}{1000}

ln (4 x) - 3 ln (x^{2}) = ln (2)

ln (x) - ln (x^{2}) = 5

lo g_{10} (x^{3} + 2000) = 2

lo g_{x} (49) = 2

lo g_{2} (x + 7) + lo g_{2} (x) = 3

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