What is simplify-ln((17.45)/(20))-ln((98.6)/(80)) ?

The solution to simplify-ln((17.45)/(20))-ln((98.6)/(80)) is -ln(1.07535625)

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simplify-ln((17.45)/(20))-ln((98.6)/(80))

simplify

- ln (\frac{17.45}{20}) - ln (\frac{98.6}{80})

- ln (1.07535625)

Decimal Notation

- 0.07265 \dots

Solution steps

- ln (\frac{17.45}{20}) - ln (\frac{98.6}{80})

Rewrite

- ln (\frac{17.45}{20}) - ln (\frac{98.6}{80})

- (ln (\frac{17.45}{20}) + ln (\frac{98.6}{80}))

= - (ln (\frac{98.6}{80}) + ln (\frac{17.45}{20}))

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (\frac{17.45}{20}) + ln (\frac{98.6}{80}) = ln (\frac{98.6}{80} \cdot \frac{17.45}{20})

= - ln (\frac{98.6}{80} \cdot \frac{17.45}{20})

\frac{17.45}{20} \cdot \frac{98.6}{80} = 1.07535625

= - ln (1.07535625)

ln (x) - ln (y) + ln (z) + ln (3)

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

ln (\frac{5 - 4 x}{x + 2})

ln (5) - 2 ln (4) + ln (32)

ln (\frac{m ^{3}}{b ^{2}})

What is simplify-ln((17.45)/(20))-ln((98.6)/(80)) ?
The solution to simplify-ln((17.45)/(20))-ln((98.6)/(80)) is -ln(1.07535625)