What is the answer to 20=20log_{10}(x/(7.07)) ?

The answer to 20=20log_{10}(x/(7.07)) is x=70.7

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20=20log_{10}(x/(7.07))

20 = 20 lo g_{10} (\frac{x}{7.07})

x = 70.7

Solution steps

20 = 20 lo g_{10} (\frac{x}{7.07})

Switch sides

20 lo g_{10} (\frac{x}{7.07}) = 20

Divide both sides by

20

lo g_{10} (\frac{x}{7.07}) = 1

Apply log rules

\frac{x}{7.07} = 1 0^{1}

Multiply both sides by

7.07

\frac{x}{7.07} \cdot 7.07 = 1 0^{1} \cdot 7.07

Simplify

x = 70.7

Verify Solutions:

x = 70.7

True

The solution is

x = 70.7

ln (x) = 3 ln (2) + ln (3)

lo g_{2} (x + 6) - lo g_{2} (x) = 3

4 lo g_{x} (64) = x

lo g_{2} (x - 4) + lo g_{2} (x) = 5

lo g_{2} (16) = lo g_{4} (x)

What is the answer to 20=20log_{10}(x/(7.07)) ?
The answer to 20=20log_{10}(x/(7.07)) is x=70.7
Solve for x: 20=20log_{10}(x/(7.07))
The solution is x=70.7