What is the answer to 26=20log_{10}((10000)/x) ?

The answer to 26=20log_{10}((10000)/x) is x=10^{27/10}

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26=20log_{10}((10000)/x)

26 = 20 lo g_{10} (\frac{10000}{x})

x = 1 0^{\frac{27}{10}}

Decimal

x = 501.18723 \dots

Solution steps

26 = 20 lo g_{10} (\frac{10000}{x})

Switch sides

20 lo g_{10} (\frac{10000}{x}) = 26

Divide both sides by

20

lo g_{10} (\frac{10000}{x}) = \frac{13}{10}

Apply log rules

\frac{10000}{x} = 1 0^{\frac{13}{10}}

Multiply both sides by

x

\frac{10000}{x} x = 1 0^{\frac{13}{10}} x

Simplify

1 0^{\frac{13}{10}} x : 1 0^{1 + \frac{3}{10}} x

10000 = 1 0^{1 + \frac{3}{10}} x

Solve

10000 = 1 0^{1 + \frac{3}{10}} x : x = 1 0^{\frac{27}{10}}

x = 1 0^{\frac{27}{10}}

Verify Solutions:

x = 1 0^{\frac{27}{10}}

True

The solution is

x = 1 0^{\frac{27}{10}}

ln (x - 6) + ln (x + 7) = 1

x, m y = ln (x)

2 ln (x) + 4 = 6

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

y, x = ln (y - 4)

What is the answer to 26=20log_{10}((10000)/x) ?
The answer to 26=20log_{10}((10000)/x) is x=10^{27/10}
Solve for x: 26=20log_{10}((10000)/x)
The solution is x=10^{27/10}