What is (ln(0.9))/(0.9-1) ?

The solution to (ln(0.9))/(0.9-1) is 1.05360…

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simplify (ln(0.9))/(0.9-1)

simplify

\frac{ln ( 0.9 )}{0.9 - 1}

1.05360 \dots

Solution steps

\frac{ln ( 0.9 )}{0.9 - 1}

Subtract the numbers:

0.9 - 1 = - 0.1

= \frac{ln ( 0.9 )}{- 0.1}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{ln ( 0.9 )}{0.1}

Divide the numbers:

\frac{1}{0.1} = 10

= - 10 ln (0.9)

Simplify

ln (0.9) : - 0.10536 \dots

= - 10 (- 0.10536 \dots)

Simplify

= 1.05360 \dots

34

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