What is (ln(6.1)-ln(6))/(6.1-6) ?

The solution to (ln(6.1)-ln(6))/(6.1-6) is (ln(1.01666…))/(0.1)

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simplify (ln(6.1)-ln(6))/(6.1-6)

simplify

\frac{ln ( 6.1 ) - ln ( 6 )}{6.1 - 6}

\frac{ln ( 1.01666 \dots )}{0.1}

Decimal Notation

0.16529 \dots

Solution steps

\frac{ln ( 6.1 ) - ln ( 6 )}{6.1 - 6}

Apply log rule:

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

ln (6.1) - ln (6) = ln (\frac{6.1}{6})

= \frac{ln ( \frac{6.1}{6} )}{6.1 - 6}

Divide the numbers:

\frac{6.1}{6} = 1.01666 \dots

= \frac{ln ( 1.01666 \dots )}{6.1 - 6}

Subtract the numbers:

6.1 - 6 = 0.1

= \frac{ln ( 1.01666 \dots )}{0.1}

ln ∣ 7 ∣ + ln ∣ 0.5 ∣

\frac{ln ( 2 )}{ln ( 21.3619 ) - ln ( 58.8018 )}

ln (\frac{62 - 25}{100 - 25})

ln (\frac{17}{25})

ln (\frac{3 x ^{3 - 1}}{θ ^{3}})

What is (ln(6.1)-ln(6))/(6.1-6) ?
The solution to (ln(6.1)-ln(6))/(6.1-6) is (ln(1.01666…))/(0.1)