What is the answer to 40=20*log_{10}(x/(0.0002)) ?

The answer to 40=20*log_{10}(x/(0.0002)) is x=0.02

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40=20*log_{10}(x/(0.0002))

40 = 20 \cdot lo g_{10} (\frac{x}{0.0002})

x = 0.02

Solution steps

40 = 20 lo g_{10} (\frac{x}{0.0002})

Switch sides

20 lo g_{10} (\frac{x}{0.0002}) = 40

Divide both sides by

20

lo g_{10} (\frac{x}{0.0002}) = 2

Apply log rules

\frac{x}{0.0002} = 1 0^{2}

Multiply both sides by

0.0002

\frac{x}{0.0002} \cdot 0.0002 = 1 0^{2} \cdot 0.0002

Simplify

x = 0.02

Verify Solutions:

x = 0.02

True

The solution is

x = 0.02

lo g_{4} (x) (x - 2) = lo g_{2} (x)

lo g_{10} (c) = 0

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

lo g_{22} (2 x) - 5 lo g_{2} (x) = 0

lo g_{10} (x + 2) + lo g_{10} (x - 2) = 1

What is the answer to 40=20*log_{10}(x/(0.0002)) ?
The answer to 40=20*log_{10}(x/(0.0002)) is x=0.02
Solve for x: 40=20*log_{10}(x/(0.0002))
The solution is x=0.02