What is the answer to 100=20log_{10}((3000000)/x) ?

The answer to 100=20log_{10}((3000000)/x) is x=30

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100=20log_{10}((3000000)/x)

100 = 20 lo g_{10} (\frac{3000000}{x})

x = 30

Solution steps

100 = 20 lo g_{10} (\frac{3000000}{x})

Switch sides

20 lo g_{10} (\frac{3000000}{x}) = 100

Divide both sides by

20

lo g_{10} (\frac{3000000}{x}) = 5

Apply log rules

\frac{3000000}{x} = 1 0^{5}

Multiply both sides by

x

\frac{3000000}{x} x = 1 0^{5} x

Simplify

3000000 = 100000 x

Solve

3000000 = 100000 x : x = 30

x = 30

Verify Solutions:

x = 30

True

The solution is

x = 30

lo g_{x + 6} (2 x^{2} + 2 x + 12) = 2

2 lo g_{10} (4 - x) = 2 - x

lo g_{x} (10000) = 2

lo g_{36} (x) = \frac{3}{2}

y, ln (x y) = x + y

What is the answer to 100=20log_{10}((3000000)/x) ?
The answer to 100=20log_{10}((3000000)/x) is x=30
Solve for x: 100=20log_{10}((3000000)/x)
The solution is x=30