What is (ln(3.1)-ln(3))/(3.1-3) ?

The solution to (ln(3.1)-ln(3))/(3.1-3) is (ln(1.03333…))/(0.1)

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simplify (ln(3.1)-ln(3))/(3.1-3)

simplify

\frac{ln ( 3.1 ) - ln ( 3 )}{3.1 - 3}

\frac{ln ( 1.03333 \dots )}{0.1}

Decimal Notation

0.32789 \dots

Solution steps

\frac{ln ( 3.1 ) - ln ( 3 )}{3.1 - 3}

Apply log rule:

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

ln (3.1) - ln (3) = ln (\frac{3.1}{3})

= \frac{ln ( \frac{3.1}{3} )}{3.1 - 3}

Divide the numbers:

\frac{3.1}{3} = 1.03333 \dots

= \frac{ln ( 1.03333 \dots )}{3.1 - 3}

Subtract the numbers:

3.1 - 3 = 0.1

= \frac{ln ( 1.03333 \dots )}{0.1}

ln (x) + 2 ln (x + 2) + 3 ln (x - 1)

0.5 ln (\frac{9}{7})

\frac{ln ( 60 ) - ln ( 37.8 )}{0.98}

lo g_{2} (\frac{1}{( 1 - p ) ^{n}})

lo g_{x} (0.37) - lo g_{x} (0.73)

What is (ln(3.1)-ln(3))/(3.1-3) ?
The solution to (ln(3.1)-ln(3))/(3.1-3) is (ln(1.03333…))/(0.1)