What is (((ln(1.01)-ln(0.99))))/(0.02) ?

The solution to (((ln(1.01)-ln(0.99))))/(0.02) is (ln(1.02020…))/(0.02)

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simplify (((ln(1.01)-ln(0.99))))/(0.02)

simplify

\frac{( ( ln ( 1.01 ) - ln ( 0.99 ) ) )}{0.02}

\frac{ln ( 1.02020 \dots )}{0.02}

Decimal Notation

1.00003 \dots

Solution steps

\frac{( ( ln ( 1.01 ) - ln ( 0.99 ) ) )}{0.02}

Apply log rule:

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

ln (1.01) - ln (0.99) = ln (\frac{1.01}{0.99})

= \frac{ln ( \frac{1.01}{0.99} )}{0.02}

Divide the numbers:

\frac{1.01}{0.99} = 1.02020 \dots

= \frac{ln ( 1.02020 \dots )}{0.02}

lo g_{e} (\frac{( 2 y ^{2} )}{z ^{3}})

ln (\frac{( y - 1 )}{y})

ln (x - 7) + ln (x + 7)

ln (2 e^{- 6}) + (- 2.268) \cdot ln (0.15)

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

What is (((ln(1.01)-ln(0.99))))/(0.02) ?
The solution to (((ln(1.01)-ln(0.99))))/(0.02) is (ln(1.02020…))/(0.02)