What is the answer to log_{10}(1/x)=2.04 ?

The answer to log_{10}(1/x)=2.04 is x= 1/(10^{2.04)}

Solve for x: log_{10}(1/x)=2.04

The solution is x= 1/(10^{2.04)}

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lo g_{10} (\frac{1}{x}) = 2.04

x = \frac{1}{1 0 ^{2.04}}

Decimal Notation

x = 0.00912 \dots

Solution steps

lo g_{10} (\frac{1}{x}) = 2.04

Apply log rules

\frac{1}{x} = 1 0^{2.04}

Multiply both sides by

x

\frac{1}{x} x = 1 0^{2.04} x

Simplify

1 = 1 0^{2.04} x

Solve

1 = 1 0^{2.04} x : x = \frac{1}{1 0 ^{2.04}}

x = \frac{1}{1 0 ^{2.04}}

Verify Solutions:

x = \frac{1}{1 0 ^{2.04}}

True

The solution is

x = \frac{1}{1 0 ^{2.04}}

lo g_{5} (x - 6) + lo g_{5} (x - 2) = 1

e^{3 l n (x)} = x^{2}

a, lo g_{a} (mn) = 6

ln (x + 1) = π

lo g_{10} (x) = - 0.3

What is the answer to log_{10}(1/x)=2.04 ?
The answer to log_{10}(1/x)=2.04 is x= 1/(10^{2.04)}
Solve for x: log_{10}(1/x)=2.04
The solution is x= 1/(10^{2.04)}