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

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

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

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

x = 210

Decimal Notation

x = 6.32455 \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} = 1 0^{- \frac{1}{2}}

Multiply both sides by

x

\frac{2}{x} x = 1 0^{- \frac{1}{2}} x

Simplify

1 0^{- \frac{1}{2}} x : \frac{1}{10} x

2 = \frac{1}{10} x

Solve

2 = \frac{1}{10} x : x = 210

x = 210

Verify Solutions:

x = 210

True

The solution is

x = 210

lo g_{b} (2) = 0.401

lo g_{4} (2^{x} + 48) = x + 1

lo g_{10} (p) - 1 = n, p

ln (x) + \frac{- 2 - x}{x} = - 3

lo g_{e} (x) = - 2197

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