What is the answer to log_{10}(1/x)=-8.45 ?

The answer to log_{10}(1/x)=-8.45 is x=10^{8.45}

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log_{10}(1/x)=-8.45

lo g_{10} (\frac{1}{x}) = - 8.45

x = 1 0^{8.45}

Decimal Notation

x = 281838293.12644 \dots

Solution steps

lo g_{10} (\frac{1}{x}) = - 8.45

Apply log rules

\frac{1}{x} = 1 0^{- 8.45}

Multiply both sides by

x

\frac{1}{x} x = 1 0^{- 8.45} x

Simplify

1 0^{- 8.45} x : \frac{1}{1 0 ^{8.45}} x

1 = \frac{1}{1 0 ^{8.45}} x

Solve

1 = \frac{1}{1 0 ^{8.45}} x : x = 1 0^{8.45}

x = 1 0^{8.45}

Verify Solutions:

x = 1 0^{8.45}

True

The solution is

x = 1 0^{8.45}

lo g_{32} (x) = 2

0 = lo g_{10} (2 x + 3)

lo g_{X} (36) = 2

ln (x) = ln (5) + ln (x + 3)

lo g_{4} (6 x) + lo g_{4} (x - 4) = 2

What is the answer to log_{10}(1/x)=-8.45 ?
The answer to log_{10}(1/x)=-8.45 is x=10^{8.45}
Solve for x: log_{10}(1/x)=-8.45
The solution is x=10^{8.45}