What is the answer to 1/x = 1/(e-1) ?

The answer to 1/x = 1/(e-1) is x=e-1

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1/x = 1/(e-1)

\frac{1}{x} = \frac{1}{e - 1}

x = e - 1

Decimal Notation

x = 1.71828 \dots

Solution steps

\frac{1}{x} = \frac{1}{e - 1}

Cross multiply

e - 1 = x

Switch sides

x = e - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = e - 1

x + 2 = \frac{6 x - 3}{x}

\frac{4}{x ^{2} - 4} = \frac{1}{x - 2}

\frac{3}{0.8 x} - \frac{5}{1.6 x} = 1.25

(\frac{6000}{x}) - 100 - 50 x = 250

\frac{1}{x ^{2}} + \frac{5}{x} = 7