What is (ln(2+0.00005)-ln(2))/(0.00005) ?

The solution to (ln(2+0.00005)-ln(2))/(0.00005) is (ln(1.000025))/(0.00005)

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simplify (ln(2+0.00005)-ln(2))/(0.00005)

simplify

\frac{ln ( 2 + 0.00005 ) - ln ( 2 )}{0.00005}

\frac{ln ( 1.000025 )}{0.00005}

Decimal Notation

0.49999 \dots

Solution steps

\frac{ln ( 2 + 0.00005 ) - ln ( 2 )}{0.00005}

Apply log rule:

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

ln (2 + 0.00005) - ln (2) = ln (\frac{2 + 0.00005}{2})

= \frac{ln ( \frac{2 + 0.00005}{2} )}{0.00005}

\frac{2 + 0.00005}{2} = 1.000025

= \frac{ln ( 1.000025 )}{0.00005}

lo g_{10} (\frac{x ^{4}}{z})

ln (1 + 2) - \frac{1}{2} ln (3)

ln (\frac{\frac{20000}{17} - 1}{1199})

ln (x^{2} - 9) - ln (2 x^{2} - 5 x - 3) + ln ((x + 3)^{- 2})

ln (24) - 3 ln (2)

What is (ln(2+0.00005)-ln(2))/(0.00005) ?
The solution to (ln(2+0.00005)-ln(2))/(0.00005) is (ln(1.000025))/(0.00005)