What is (ln(7.1)-ln(7))/(7.1-7) ?

The solution to (ln(7.1)-ln(7))/(7.1-7) is (ln(1.01428…))/(0.1)

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simplify (ln(7.1)-ln(7))/(7.1-7)

simplify

\frac{ln ( 7.1 ) - ln ( 7 )}{7.1 - 7}

\frac{ln ( 1.01428 \dots )}{0.1}

Solution steps

\frac{ln ( 7.1 ) - ln ( 7 )}{7.1 - 7}

Apply log rule:

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

ln (7.1) - ln (7) = ln (\frac{7.1}{7})

= \frac{ln ( \frac{7.1}{7} )}{7.1 - 7}

Divide the numbers:

\frac{7.1}{7} = 1.01428 \dots

= \frac{ln ( 1.01428 \dots )}{7.1 - 7}

Subtract the numbers:

7.1 - 7 = 0.1

= \frac{ln ( 1.01428 \dots )}{0.1}

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15 ln (cos (x))

What is (ln(7.1)-ln(7))/(7.1-7) ?
The solution to (ln(7.1)-ln(7))/(7.1-7) is (ln(1.01428…))/(0.1)