What is (ln(2.99)-ln(3))/((2.99)-3) ?

The solution to (ln(2.99)-ln(3))/((2.99)-3) is -(ln(0.99666…))/(0.01)

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simplify (ln(2.99)-ln(3))/((2.99)-3)

simplify

\frac{ln ( 2.99 ) - ln ( 3 )}{( 2.99 ) - 3}

- \frac{ln ( 0.99666 \dots )}{0.01}

Decimal Notation

0.33389 \dots

Solution steps

\frac{ln ( 2.99 ) - ln ( 3 )}{( 2.99 ) - 3}

Apply log rule:

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

ln (2.99) - ln (3) = ln (\frac{2.99}{3})

= \frac{ln ( \frac{2.99}{3} )}{2.99 - 3}

Divide the numbers:

\frac{2.99}{3} = 0.99666 \dots

= \frac{ln ( 0.99666 \dots )}{2.99 - 3}

Subtract the numbers:

2.99 - 3 = - 0.01

= \frac{ln ( 0.99666 \dots )}{- 0.01}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{ln ( 0.99666 \dots )}{0.01}

- lo g_{10} (4.17 \cdot 1 0^{- 4})

ln (\frac{x ^{2} - 1}{x - 3})

\frac{1}{2} - \frac{1}{3} (ln (2) - ln (8) - ln (1) + ln (5))

ln (x) - ln (y) + 1

8 lo g_{10} (x) - \frac{1}{2} lo g_{10} (y)

What is (ln(2.99)-ln(3))/((2.99)-3) ?
The solution to (ln(2.99)-ln(3))/((2.99)-3) is -(ln(0.99666…))/(0.01)