What is (ln(5.9)-ln(6))/(5.9-6) ?

The solution to (ln(5.9)-ln(6))/(5.9-6) is -(ln(0.98333…))/(0.1)

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simplify (ln(5.9)-ln(6))/(5.9-6)

simplify

\frac{ln ( 5.9 ) - ln ( 6 )}{5.9 - 6}

- \frac{ln ( 0.98333 \dots )}{0.1}

Decimal Notation

0.16807 \dots

Solution steps

\frac{ln ( 5.9 ) - ln ( 6 )}{5.9 - 6}

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (5.9) - ln (6) = ln (\frac{5.9}{6})

= \frac{ln ( \frac{5.9}{6} )}{5.9 - 6}

Divide the numbers:

\frac{5.9}{6} = 0.98333 \dots

= \frac{ln ( 0.98333 \dots )}{5.9 - 6}

Subtract the numbers:

5.9 - 6 = - 0.1

= \frac{ln ( 0.98333 \dots )}{- 0.1}

Apply the fraction rule:

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

= - \frac{ln ( 0.98333 \dots )}{0.1}

ln (\frac{x ^{2}}{y})

ln (\frac{e ^{2 y}}{c})

4 lo g_{a} (k) - 3 lo g_{a} (m)

- lo g_{10} (8.32 \cdot 1 0^{- 9})

2 ln (x e^{x})

What is (ln(5.9)-ln(6))/(5.9-6) ?
The solution to (ln(5.9)-ln(6))/(5.9-6) is -(ln(0.98333…))/(0.1)