What is the answer to log_{10}(1/x)=-4 ?

The answer to log_{10}(1/x)=-4 is x=10000

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log_{10}(1/x)=-4

lo g_{10} (\frac{1}{x}) = - 4

x = 10000

Solution steps

lo g_{10} (\frac{1}{x}) = - 4

Apply log rules

\frac{1}{x} = 1 0^{- 4}

Multiply both sides by

x

\frac{1}{x} x = 1 0^{- 4} x

Simplify

1 0^{- 4} x : \frac{1}{10000} x

1 = \frac{1}{10000} x

Solve

1 = \frac{1}{10000} x : x = 10000

x = 10000

Verify Solutions:

x = 10000

True

The solution is

x = 10000

lo g_{5} (x + 4) + lo g_{5} (x - 4) = 2

ln (7 x + 32) + ln (4) = 2 ln (x)

1 = lo g_{10} (2 x^{2} + 3 x - 22)

lo g_{x - 8} (x^{2} - 16) = 2

lo g_{1} (x) = 1.755

What is the answer to log_{10}(1/x)=-4 ?
The answer to log_{10}(1/x)=-4 is x=10000
Solve for x: log_{10}(1/x)=-4
The solution is x=10000