What is the answer to 30=20log_{10}(x/(20)) ?

The answer to 30=20log_{10}(x/(20)) is x=200sqrt(10)

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30=20log_{10}(x/(20))

30 = 20 lo g_{10} (\frac{x}{20})

x = 20010

Decimal

x = 632.45553 \dots

Solution steps

30 = 20 lo g_{10} (\frac{x}{20})

Switch sides

20 lo g_{10} (\frac{x}{20}) = 30

Divide both sides by

20

lo g_{10} (\frac{x}{20}) = \frac{3}{2}

Apply log rules

\frac{x}{20} = 1 0^{\frac{3}{2}}

Multiply both sides by

20

\frac{x}{20} \cdot 20 = 1 0^{\frac{3}{2}} \cdot 20

Simplify

1 0^{\frac{3}{2}} \cdot 20 : 20010

x = 20010

Verify Solutions:

x = 20010

True

The solution is

x = 20010

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

ln (2^{x}) + x = 3

lo g_{10} (9 x) = \frac{3}{2}

lo g_{4} (3 x) - 1 = lo g_{4 - 2 + 9} (x)

- \frac{ln ( x ) - 1}{x ^{2}} = 0

What is the answer to 30=20log_{10}(x/(20)) ?
The answer to 30=20log_{10}(x/(20)) is x=200sqrt(10)
Solve for x: 30=20log_{10}(x/(20))
The solution is x=200sqrt(10)