What is the answer to 75=20log_{10}((800)/x) ?

The answer to 75=20log_{10}((800)/x) is x=(2\sqrt[4]{2})/(5^{7/4)}

Solve for x: 75=20log_{10}((800)/x)

The solution is x=(2\sqrt[4]{2})/(5^{7/4)}

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75 = 20 lo g_{10} (\frac{800}{x})

Decimal Notation

x = 0.14226 \dots

Solution steps

75 = 20 lo g_{10} (\frac{800}{x})

Switch sides

20 lo g_{10} (\frac{800}{x}) = 75

Divide both sides by

20

lo g_{10} (\frac{800}{x}) = \frac{15}{4}

Apply log rules

\frac{800}{x} = 1 0^{\frac{15}{4}}

Multiply both sides by

x

\frac{800}{x} x = 1 0^{\frac{15}{4}} x

Simplify

1 0^{\frac{15}{4}} x : 1 0^{3 + \frac{3}{4}} x

800 = 1 0^{3 + \frac{3}{4}} x

Solve

Verify Solutions:

True

The solution is

lo g_{2} (8 x + 5) = 5

6 + 7 \cdot lo g_{2} (x) = 21

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

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

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

What is the answer to 75=20log_{10}((800)/x) ?
The answer to 75=20log_{10}((800)/x) is x=(2\sqrt[4]{2})/(5^{7/4)}
Solve for x: 75=20log_{10}((800)/x)
The solution is x=(2\sqrt[4]{2})/(5^{7/4)}