What is the answer to -3=20log_{10}(1/x) ?

The answer to -3=20log_{10}(1/x) is x=10^{3/20}

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-3=20log_{10}(1/x)

- 3 = 20 lo g_{10} (\frac{1}{x})

x = 1 0^{\frac{3}{20}}

Decimal Notation

x = 1.41253 \dots

Solution steps

- 3 = 20 lo g_{10} (\frac{1}{x})

Switch sides

20 lo g_{10} (\frac{1}{x}) = - 3

Divide both sides by

20

lo g_{10} (\frac{1}{x}) = - \frac{3}{20}

Apply log rules

\frac{1}{x} = 1 0^{- \frac{3}{20}}

Multiply both sides by

x

\frac{1}{x} x = 1 0^{- \frac{3}{20}} x

Simplify

1 0^{- \frac{3}{20}} x : \frac{1}{1 0 ^{\frac{3}{20}}} x

1 = \frac{1}{1 0 ^{\frac{3}{20}}} x

Solve

1 = \frac{1}{1 0 ^{\frac{3}{20}}} x : x = 1 0^{\frac{3}{20}}

x = 1 0^{\frac{3}{20}}

Verify Solutions:

x = 1 0^{\frac{3}{20}}

True

The solution is

x = 1 0^{\frac{3}{20}}

lo g_{2} (x^{2} + 3 x - 2) = 1

lo g_{x} (x) + lo g_{10} (8) = 2

6 + ln (x) = 8

y, x = \frac{ln ( 5 y )}{5}

- 0.688 = lo g_{10} (x)

What is the answer to -3=20log_{10}(1/x) ?
The answer to -3=20log_{10}(1/x) is x=10^{3/20}
Solve for x: -3=20log_{10}(1/x)
The solution is x=10^{3/20}