Question

right...so I have ln (x / 5.0 * 10^3) = 0.329

How do I figure out what x is??!

Answer 1

I am not sure if your 10^3 is in the numerator or denominator so will assume it is in the denominator/
ln(a/b) = ln a - ln b
so
ln x - ln (5 * 10^3) = .329
but
ln (a * b) = ln a + ln b
so
ln x - ln 5 - ln 10^3 = .329
but
ln (a^b) = b lan a
so
ln x - ln 5 - 3 ln 10 = .329
or
ln x - 1.61 - 6.91 = .329
ln x = 8.85
x = e^8.85 = 6974
Now if that 10^3 was in the numerator, do it the same way but with +3 ln 10