What is the answer to ln(1/x)=1.147629 ?

The answer to ln(1/x)=1.147629 is x= 1/(e^{1.147629)}

Solve for x: ln(1/x)=1.147629

The solution is x= 1/(e^{1.147629)}

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ln (\frac{1}{x}) = 1.147629

x = \frac{1}{e ^{1.147629}}

Decimal Notation

x = 0.31738 \dots

Solution steps

ln (\frac{1}{x}) = 1.147629

Apply log rules

\frac{1}{x} = e^{1.147629}

Multiply both sides by

x

\frac{1}{x} x = e^{1.147629} x

Simplify

1 = e^{1.147629} x

Solve

1 = e^{1.147629} x : x = \frac{1}{e ^{1.147629}}

x = \frac{1}{e ^{1.147629}}

Verify Solutions:

x = \frac{1}{e ^{1.147629}}

True

The solution is

x = \frac{1}{e ^{1.147629}}

lo g_{3} (x) - lo g_{3} (x + 5) = 1

8 ln (x) = x ln (x)

lo g_{4} (x) = 2.1

lo g_{10} (5 x) = 5

What is the answer to ln(1/x)=1.147629 ?
The answer to ln(1/x)=1.147629 is x= 1/(e^{1.147629)}
Solve for x: ln(1/x)=1.147629
The solution is x= 1/(e^{1.147629)}