What is (ln(1.9)-ln(2))/(1.9-2) ?

The solution to (ln(1.9)-ln(2))/(1.9-2) is -(ln(0.95))/(0.1)

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simplify (ln(1.9)-ln(2))/(1.9-2)

simplify

\frac{ln ( 1.9 ) - ln ( 2 )}{1.9 - 2}

- \frac{ln ( 0.95 )}{0.1}

Solution steps

\frac{ln ( 1.9 ) - ln ( 2 )}{1.9 - 2}

Apply log rule:

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

ln (1.9) - ln (2) = ln (\frac{1.9}{2})

= \frac{ln ( \frac{1.9}{2} )}{1.9 - 2}

Divide the numbers:

\frac{1.9}{2} = 0.95

= \frac{ln ( 0.95 )}{1.9 - 2}

Subtract the numbers:

1.9 - 2 = - 0.1

= \frac{ln ( 0.95 )}{- 0.1}

Apply the fraction rule:

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

= - \frac{ln ( 0.95 )}{0.1}

lo g_{10} (y^{2} x)

lo g_{y} (x^{2})

2 ln (y) - ln (x y)

ln (9) - ln (5)

w (ln (x^{2}), ln (x^{3}))

What is (ln(1.9)-ln(2))/(1.9-2) ?
The solution to (ln(1.9)-ln(2))/(1.9-2) is -(ln(0.95))/(0.1)