What is (((ln(1.1)-ln(0.9))))/(0.2) ?

The solution to (((ln(1.1)-ln(0.9))))/(0.2) is (ln(1.22222…))/(0.2)

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simplify (((ln(1.1)-ln(0.9))))/(0.2)

simplify

\frac{( ( ln ( 1.1 ) - ln ( 0.9 ) ) )}{0.2}

\frac{ln ( 1.22222 \dots )}{0.2}

Decimal

1.00335 \dots

Solution steps

\frac{( ( ln ( 1.1 ) - ln ( 0.9 ) ) )}{0.2}

Apply log rule:

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

ln (1.1) - ln (0.9) = ln (\frac{1.1}{0.9})

= \frac{ln ( \frac{1.1}{0.9} )}{0.2}

Divide the numbers:

\frac{1.1}{0.9} = 1.22222 \dots

= \frac{ln ( 1.22222 \dots )}{0.2}

lo g_{e} (\frac{5}{27})

- [\frac{1}{5} lo g_{2} (\frac{1}{5}) + \frac{4}{5} lo g_{2} (\frac{4}{5})]

ln (7) + ln (3)

ln ∣ x ∣ - ln ∣ x - n ∣

lo g_{6} (3 x^{4})

What is (((ln(1.1)-ln(0.9))))/(0.2) ?
The solution to (((ln(1.1)-ln(0.9))))/(0.2) is (ln(1.22222…))/(0.2)