What is the answer to 0.58=-1/x ln(1-0.826) ?

The answer to 0.58=-1/x ln(1-0.826) is x=-(ln(0.174))/(0.58)

Solve for x: 0.58=-1/x ln(1-0.826)

The solution is x=-(ln(0.174))/(0.58)

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0.58 = - \frac{1}{x} ln (1 - 0.826)

x = - \frac{ln ( 0.174 )}{0.58}

Solution steps

0.58 = - \frac{1}{x} ln (1 - 0.826)

Simplify

- \frac{1}{x} ln (1 - 0.826) : - \frac{ln ( 0.174 )}{x}

0.58 = - \frac{ln ( 0.174 )}{x}

Multiply both sides by

x

0.58 x = - ln (0.174)

Divide both sides by

0.58

x = - \frac{ln ( 0.174 )}{0.58}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{ln ( 0.174 )}{0.58}

\frac{5}{x - 5} = 4 + \frac{x}{x - 5}

\frac{3 x}{x - 2} = 0

\frac{- 11}{x} = \frac{- 22}{x + 4}

\frac{7}{x + 1} - \frac{4}{3 x - 2} = 1

y, x = \frac{4}{y}

What is the answer to 0.58=-1/x ln(1-0.826) ?
The answer to 0.58=-1/x ln(1-0.826) is x=-(ln(0.174))/(0.58)
Solve for x: 0.58=-1/x ln(1-0.826)
The solution is x=-(ln(0.174))/(0.58)