What is the answer to log_{10}(1/x)=-2.95 ?

The answer to log_{10}(1/x)=-2.95 is x=10^{2.95}

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log_{10}(1/x)=-2.95

lo g_{10} (\frac{1}{x}) = - 2.95

x = 1 0^{2.95}

Solution steps

lo g_{10} (\frac{1}{x}) = - 2.95

Apply log rules

\frac{1}{x} = 1 0^{- 2.95}

Multiply both sides by

x

\frac{1}{x} x = 1 0^{- 2.95} x

Simplify

1 0^{- 2.95} x : \frac{1}{1 0 ^{2.95}} x

1 = \frac{1}{1 0 ^{2.95}} x

Solve

1 = \frac{1}{1 0 ^{2.95}} x : x = 1 0^{2.95}

x = 1 0^{2.95}

Verify Solutions:

x = 1 0^{2.95}

True

The solution is

x = 1 0^{2.95}

(x + 2) ln (x) = 0

lo g_{5} (2 x + 3) = 2

lo g_{x} (21) = 7

lo g_{7} (x) = 4

lo g_{10} (x - 6) = 5

What is the answer to log_{10}(1/x)=-2.95 ?
The answer to log_{10}(1/x)=-2.95 is x=10^{2.95}
Solve for x: log_{10}(1/x)=-2.95
The solution is x=10^{2.95}