What is the answer to 7.3=20log_{10}((4.7)/x) ?

The answer to 7.3=20log_{10}((4.7)/x) is x=(47)/(10^{1.365)}

Solve for x: 7.3=20log_{10}((4.7)/x)

The solution is x=(47)/(10^{1.365)}

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7.3 = 20 lo g_{10} (\frac{4.7}{x})

x = \frac{47}{1 0 ^{1.365}}

Decimal Notation

x = 2.02813 \dots

Solution steps

7.3 = 20 lo g_{10} (\frac{4.7}{x})

Switch sides

20 lo g_{10} (\frac{4.7}{x}) = 7.3

Divide both sides by

20

lo g_{10} (\frac{4.7}{x}) = 0.365

Apply log rules

\frac{4.7}{x} = 1 0^{0.365}

Multiply both sides by

x

\frac{4.7}{x} x = 1 0^{0.365} x

Simplify

4.7 = 1 0^{0.365} x

Solve

4.7 = 1 0^{0.365} x : x = \frac{47}{1 0 ^{1.365}}

x = \frac{47}{1 0 ^{1.365}}

Verify Solutions:

x = \frac{47}{1 0 ^{1.365}}

True

The solution is

x = \frac{47}{1 0 ^{1.365}}

- 30 = 10 \cdot lo g_{10} (w)

ln (x) - 3 + 2 x = 0

x, z = ln (x y)

3 lo g_{5} (4 x + 1) = 6

x, e^{y} = ln (x)

What is the answer to 7.3=20log_{10}((4.7)/x) ?
The answer to 7.3=20log_{10}((4.7)/x) is x=(47)/(10^{1.365)}
Solve for x: 7.3=20log_{10}((4.7)/x)
The solution is x=(47)/(10^{1.365)}