What is ln((10)/(12.5))+ln(8/10) ?

The solution to ln((10)/(12.5))+ln(8/10) is 3ln(2)-ln(12.5)

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simplify ln((10)/(12.5))+ln(8/10)

simplify

ln (\frac{10}{12.5}) + ln (\frac{8}{10})

3 ln (2) - ln (12.5)

Decimal Notation

- 0.44628 \dots

Solution steps

ln (\frac{10}{12.5}) + ln (\frac{8}{10})

Apply log rule:

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

ln (\frac{10}{12.5}) = ln (10) - ln (12.5), ln (\frac{8}{10}) = ln (8) - ln (10)

= ln (10) - ln (12.5) + + ln (8) - ln (10)

Simplify

ln (10) - ln (12.5) + + ln (8) - ln (10) : ln (8) - ln (12.5)

ln (8) = 3 ln (2)

= 3 ln (2) - ln (12.5)

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

lo g_{2} (\frac{16}{x ^{4}})

5 lo g_{3} (z) + 7 lo g_{3} (y)

1.76776 ln (\frac{1}{( 2 2 )})

0.8 + 1.4 \cdot ln (\frac{π \cdot 10 0 ^{2}}{1200})

What is ln((10)/(12.5))+ln(8/10) ?
The solution to ln((10)/(12.5))+ln(8/10) is 3ln(2)-ln(12.5)