What is the answer to 3=20log_{10}(4/x) ?

The answer to 3=20log_{10}(4/x) is x=(2^{37/20})/(5^{3/20)}

Solve for x: 3=20log_{10}(4/x)

The solution is x=(2^{37/20})/(5^{3/20)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3 = 20 lo g_{10} (\frac{4}{x})

x = \frac{2 ^{\frac{37}{20}}}{5 ^{\frac{3}{20}}}

Decimal

x = 2.83178 \dots

Solution steps

3 = 20 lo g_{10} (\frac{4}{x})

Switch sides

20 lo g_{10} (\frac{4}{x}) = 3

Divide both sides by

20

lo g_{10} (\frac{4}{x}) = \frac{3}{20}

Apply log rules

\frac{4}{x} = 1 0^{\frac{3}{20}}

Multiply both sides by

x

\frac{4}{x} x = 1 0^{\frac{3}{20}} x

Simplify

4 = 1 0^{\frac{3}{20}} x

Solve

4 = 1 0^{\frac{3}{20}} x : x = \frac{2 ^{\frac{37}{20}}}{5 ^{\frac{3}{20}}}

x = \frac{2 ^{\frac{37}{20}}}{5 ^{\frac{3}{20}}}

Verify Solutions:

x = \frac{2 ^{\frac{37}{20}}}{5 ^{\frac{3}{20}}}

True

The solution is

x = \frac{2 ^{\frac{37}{20}}}{5 ^{\frac{3}{20}}}

lo g_{4} (5 y + 6) = 2^{2}

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

v, lo g_{10} (v) = t

lo g_{5} (2 x) = x + 1

lo g_{7} (x^{4}) = 2

What is the answer to 3=20log_{10}(4/x) ?
The answer to 3=20log_{10}(4/x) is x=(2^{37/20})/(5^{3/20)}
Solve for x: 3=20log_{10}(4/x)
The solution is x=(2^{37/20})/(5^{3/20)}