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

The answer to 10=20log_{10}(2/x) is x=sqrt(2/5)

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10=20log_{10}(2/x)

10 = 20 lo g_{10} (\frac{2}{x})

x = \frac{2}{5}

Decimal Notation

x = 0.63245 \dots

Solution steps

10 = 20 lo g_{10} (\frac{2}{x})

Switch sides

20 lo g_{10} (\frac{2}{x}) = 10

Divide both sides by

20

lo g_{10} (\frac{2}{x}) = \frac{1}{2}

Apply log rules

\frac{2}{x} = 10

Multiply both sides by

x

\frac{2}{x} x = 10 x

Simplify

2 = 10 x

Solve

2 = 10 x : x = \frac{2}{5}

x = \frac{2}{5}

Verify Solutions:

x = \frac{2}{5}

True

The solution is

x = \frac{2}{5}

y, ln (y (k (x + 1))) = x

- x - 2 = ln (x - 1)

x, ln (x - y) = 0.5

ln (\frac{1.5}{x}) = 27

3 = lo g_{3} (t + 3) + lo g_{3} (t - 3)

What is the answer to 10=20log_{10}(2/x) ?
The answer to 10=20log_{10}(2/x) is x=sqrt(2/5)
Solve for x: 10=20log_{10}(2/x)
The solution is x=sqrt(2/5)