What is the answer to log_{10}(1/x)=-0.26 ?

The answer to log_{10}(1/x)=-0.26 is x=10^{0.26}

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log_{10}(1/x)=-0.26

lo g_{10} (\frac{1}{x}) = - 0.26

x = 1 0^{0.26}

Decimal Notation

x = 1.81970 \dots

Solution steps

lo g_{10} (\frac{1}{x}) = - 0.26

Apply log rules

\frac{1}{x} = 1 0^{- 0.26}

Multiply both sides by

x

\frac{1}{x} x = 1 0^{- 0.26} x

Simplify

1 0^{- 0.26} x : \frac{1}{1 0 ^{0.26}} x

1 = \frac{1}{1 0 ^{0.26}} x

Solve

1 = \frac{1}{1 0 ^{0.26}} x : x = 1 0^{0.26}

x = 1 0^{0.26}

Verify Solutions:

x = 1 0^{0.26}

True

The solution is

x = 1 0^{0.26}

lo g_{2} (8 x) = 6 lo g_{8} (2 x) + 2

lo g_{2} (x + 5) = - lo g_{2} (x + 8) + 2

3 + 4 ln (2 x) = 15

lo g_{2} (8 x) - 3 lo g_{2} (4) = 3

ln (x + 4) + ln (3) = 8

What is the answer to log_{10}(1/x)=-0.26 ?
The answer to log_{10}(1/x)=-0.26 is x=10^{0.26}
Solve for x: log_{10}(1/x)=-0.26
The solution is x=10^{0.26}