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What is ln(8.66×10⁻⁷ / 3.61×10⁻¹⁵); I can't seem to get that answer correct
 Feb 7, 2014
 #1
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Quote:

What is ln(8.66×10⁻⁷ / 3.61×10⁻¹⁵)



log(ab) = log(a) + log(b)

log(a/b) = log(a) - log(b)

ln(a) = log(a)/log(e) where ln(e) = 1

so first find

log(8.66×10⁻⁷ / 3.61×10⁻¹⁵) = (log(8.66) + (-7)) - (log(3.61) + (-15)) =

0.38 + (15-7) = 8.38

Now we convert to natural log ln by finding

8.38 / log(e) = 19.30
 Feb 8, 2014
 #2
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DaileyDoss:

What is ln(8.66×10⁻⁷ / 3.61×10⁻¹⁵); I can't seem to get that answer correct



I'm sorry Rom but I only half understand what you are doing.
I'm very tired, maybe that is why.
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i'd just work out the number first

8.61/3.61 = 2.385041551 that's how many places my calculator gives.

10 -7 x 10 -15 = 10 -22

ln ( 2.385041551 x 10 -22 )

-49.78

I think that's right.
 Feb 8, 2014

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