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

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

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log_{10}(1/x)=1

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

x = \frac{1}{10}

Decimal Notation

x = 0.1

Solution steps

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

Apply log rules

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

Multiply both sides by

x

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

Simplify

1 = 10 x

Solve

1 = 10 x : x = \frac{1}{10}

x = \frac{1}{10}

Verify Solutions:

x = \frac{1}{10}

True

The solution is

x = \frac{1}{10}

24 \cdot lo g_{10} (3 x) = 60

10 lo g_{7} (x) = 21

ln (c) = 0

lo g_{10} (\frac{1}{7} x) = - 2

lo g_{4} (3 a - 4) = 2

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