What is the answer to log_{10}(1/x)=-6.34 ?

The answer to log_{10}(1/x)=-6.34 is x=10^{6.34}

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log_{10}(1/x)=-6.34

lo g_{10} (\frac{1}{x}) = - 6.34

x = 1 0^{6.34}

Decimal Notation

x = 2187761.62394 \dots

Solution steps

lo g_{10} (\frac{1}{x}) = - 6.34

Apply log rules

\frac{1}{x} = 1 0^{- 6.34}

Multiply both sides by

x

\frac{1}{x} x = 1 0^{- 6.34} x

Simplify

1 0^{- 6.34} x : \frac{1}{1 0 ^{6.34}} x

1 = \frac{1}{1 0 ^{6.34}} x

Solve

1 = \frac{1}{1 0 ^{6.34}} x : x = 1 0^{6.34}

x = 1 0^{6.34}

Verify Solutions:

x = 1 0^{6.34}

True

The solution is

x = 1 0^{6.34}

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

55000 = 5000 ln (0.3 t + 0.5) + 38000

ln (y) = 0.83

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

0 = lo g_{3} (x + 3) + 2

What is the answer to log_{10}(1/x)=-6.34 ?
The answer to log_{10}(1/x)=-6.34 is x=10^{6.34}
Solve for x: log_{10}(1/x)=-6.34
The solution is x=10^{6.34}