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(2 log(125))/(3 log(25))?
HOW DO YOU SOLVE THIS?
I know the answer is 1 but the method to solving i dont know.
anyone please help ASAP
4 Answers
- AnonymousLv 49 years agoFavorite Answer
(2 log(125))/(3 log(25))
= (2 log(5^3))/(3 log(5^2))
=(6 log(5))/(6 log(5))
=1
- MushroomLv 49 years ago
i assume your log base is 10
just punch in your calculator..
2log125÷3log25
and you'll get the answer
- la consoleLv 79 years ago
Before starting, you have to know that:
Ln(a)^n = n.Ln(a)
Ln(ab) = Ln(a) + Ln(b)
Ln(a/b) = Ln(a) - Ln(b)
Ln(e) = 1
Ln(x), to be defined, x must be as: x > 0
= [2.Ln(125)] / [3.Ln(25)]
= [2.Ln(5)³] / [3.Ln(5)²] â you know that: Ln(a)^n = n.Ln(a)
= [(2 * 3).Ln(5)] / [(3 * 2).Ln(5)]
= [6.Ln(5)] / [6.Ln(5)]
= 1