What is the answer to 86=20log_{10}(x/(20)) ?

The answer to 86=20log_{10}(x/(20)) is x=200000*10^{3/10}

Solve for x: 86=20log_{10}(x/(20))

The solution is x=200000*10^{3/10}

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86 = 20 lo g_{10} (\frac{x}{20})

x = 200000 \cdot 1 0^{\frac{3}{10}}

Decimal Notation

x = 399052.46299 \dots

Solution steps

86 = 20 lo g_{10} (\frac{x}{20})

Switch sides

20 lo g_{10} (\frac{x}{20}) = 86

Divide both sides by

20

lo g_{10} (\frac{x}{20}) = \frac{43}{10}

Apply log rules

\frac{x}{20} = 1 0^{\frac{43}{10}}

Multiply both sides by

20

\frac{x}{20} \cdot 20 = 1 0^{\frac{43}{10}} \cdot 20

Simplify

1 0^{\frac{43}{10}} \cdot 20 : 2^{\frac{3}{10} + 6} \cdot 5^{\frac{3}{10} + 5}

x = 2^{\frac{3}{10} + 6} \cdot 5^{\frac{3}{10} + 5}

Solve

x = 2^{\frac{3}{10} + 6} \cdot 5^{\frac{3}{10} + 5} : x = 200000 \cdot 1 0^{\frac{3}{10}}

x = 200000 \cdot 1 0^{\frac{3}{10}}

Verify Solutions:

x = 200000 \cdot 1 0^{\frac{3}{10}}

True

The solution is

x = 200000 \cdot 1 0^{\frac{3}{10}}

x, t = 5 ln (x)

ln (3 x^{2} - 2 x) = 0

lo g_{a} (6) = 0.1436

x, 0.72 = lo g_{10} (x)

2 lo g_{10} (x) + 4 = 10

What is the answer to 86=20log_{10}(x/(20)) ?
The answer to 86=20log_{10}(x/(20)) is x=200000*10^{3/10}
Solve for x: 86=20log_{10}(x/(20))
The solution is x=200000*10^{3/10}