What is the answer to 10log_{10}(x^2)=-20 ?

The answer to 10log_{10}(x^2)=-20 is x= 1/10 ,x=-1/10

Solve for x: 10log_{10}(x^2)=-20

The solution is x= 1/10 ,x=-1/10

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10 lo g_{10} (x^{2}) = - 20

x = \frac{1}{10}, x = - \frac{1}{10}

Decimal Notation

x = 0.1, x = - 0.1

Solution steps

10 lo g_{10} (x^{2}) = - 20

Divide both sides by

10

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

Apply log rules

x^{2} = \frac{1}{100}

Solve

x^{2} = \frac{1}{100} : x = \frac{1}{10}, x = - \frac{1}{10}

x = \frac{1}{10}, x = - \frac{1}{10}

Verify Solutions:

x = \frac{1}{10}

True

, x = - \frac{1}{10}

True

The solutions are

x = \frac{1}{10}, x = - \frac{1}{10}

2 5^{l o g_{5} (3 x^{2})} = 9 x^{2}

lo g_{10} (x) = - 13.9

lo g_{2} (x + 19) + lo g_{2} (x + 4) = 4

x^{1 + l n (x)} = e^{4} \cdot x

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

What is the answer to 10log_{10}(x^2)=-20 ?
The answer to 10log_{10}(x^2)=-20 is x= 1/10 ,x=-1/10
Solve for x: 10log_{10}(x^2)=-20
The solution is x= 1/10 ,x=-1/10