What is ln((25)/(360-25)) ?

The solution to ln((25)/(360-25)) is 2ln(5)-ln(335)

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simplify ln((25)/(360-25))

simplify

ln (\frac{25}{360 - 25})

2 ln (5) - ln (335)

Decimal Notation

- 2.59525 \dots

Solution steps

ln (\frac{25}{360 - 25})

Apply log rule:

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

ln (\frac{25}{360 - 25}) = ln (25) - ln (360 - 25)

= ln (25) - ln (360 - 25)

Subtract the numbers:

360 - 25 = 335

= ln (25) - ln (335)

ln (25) = 2 ln (5)

= 2 ln (5) - ln (335)

5 lo g_{3} (x) + 3 lo g_{3} (y) - 2

ln (1 - i) - ln (1 + i)

ln (\frac{201.5}{200.75})

3 lo g_{a} (x) + 2 lo g_{a} (y)

2 ln (x^{3} \cdot y^{12})