What is ln((10-0.319)/(22.4-0.319)) ?

The solution to ln((10-0.319)/(22.4-0.319)) is ln(9.681)-ln(22.081)

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simplify ln((10-0.319)/(22.4-0.319))

simplify

ln (\frac{10 - 0.319}{22.4 - 0.319})

ln (9.681) - ln (22.081)

Decimal Notation

- 0.82455 \dots

Solution steps

ln (\frac{10 - 0.319}{22.4 - 0.319})

Apply log rule:

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

ln (\frac{10 - 0.319}{22.4 - 0.319}) = ln (10 - 0.319) - ln (22.4 - 0.319)

= ln (10 - 0.319) - ln (22.4 - 0.319)

Subtract the numbers:

10 - 0.319 = 9.681

= ln (9.681) - ln (22.4 - 0.319)

Subtract the numbers:

22.4 - 0.319 = 22.081

= ln (9.681) - ln (22.081)

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

lo g_{a} (\frac{x ^{4}}{y ^{2} a ^{4}})

2 lo g_{10} (x) - 2 lo g_{10} (x + 1)

ln (- 2 e^{- x})

- ln (\frac{1}{5})

What is ln((10-0.319)/(22.4-0.319)) ?
The solution to ln((10-0.319)/(22.4-0.319)) is ln(9.681)-ln(22.081)