What is the answer to 10log_{10}(x/(20))=5 ?

The answer to 10log_{10}(x/(20))=5 is x=sqrt(10)*20

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10log_{10}(x/(20))=5

10 lo g_{10} (\frac{x}{20}) = 5

x = 10 \cdot 20

Decimal

x = 63.24555 \dots

Solution steps

10 lo g_{10} (\frac{x}{20}) = 5

Divide both sides by

10

lo g_{10} (\frac{x}{20}) = \frac{1}{2}

Apply log rules

\frac{x}{20} = 10

Multiply both sides by

20

\frac{x}{20} \cdot 20 = 10 \cdot 20

Simplify

x = 10 \cdot 20

Verify Solutions:

x = 10 \cdot 20

True

The solution is

x = 10 \cdot 20

lo g_{a} (16) = \frac{1}{2}

lo g_{3} (5) + lo g_{3} (x - 4) = 2

ln (x) + ln (x - 2) = ln (2 x)

10 lo g_{10} (x) = 3

lo g_{8} (3 x - 2) = 2

What is the answer to 10log_{10}(x/(20))=5 ?
The answer to 10log_{10}(x/(20))=5 is x=sqrt(10)*20
Solve for x: 10log_{10}(x/(20))=5
The solution is x=sqrt(10)*20