What is the answer to log_{10}(1/x)=-5.37 ?

The answer to log_{10}(1/x)=-5.37 is x=10^{5.37}

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log_{10}(1/x)=-5.37

lo g_{10} (\frac{1}{x}) = - 5.37

x = 1 0^{5.37}

Decimal Notation

x = 234422.88153 \dots

Solution steps

lo g_{10} (\frac{1}{x}) = - 5.37

Apply log rules

\frac{1}{x} = 1 0^{- 5.37}

Multiply both sides by

x

\frac{1}{x} x = 1 0^{- 5.37} x

Simplify

1 0^{- 5.37} x : \frac{1}{1 0 ^{5.37}} x

1 = \frac{1}{1 0 ^{5.37}} x

Solve

1 = \frac{1}{1 0 ^{5.37}} x : x = 1 0^{5.37}

x = 1 0^{5.37}

Verify Solutions:

x = 1 0^{5.37}

True

The solution is

x = 1 0^{5.37}

ln (3 x - 19) = 3

ln (3 x - 19) = 5

y, ln (y - 1) = x^{2}

ln (3 x) = - 1

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

What is the answer to log_{10}(1/x)=-5.37 ?
The answer to log_{10}(1/x)=-5.37 is x=10^{5.37}
Solve for x: log_{10}(1/x)=-5.37
The solution is x=10^{5.37}