Given ln 2, ln 3, and ln 5...?

Question

Given ln 2 = 0.693, ln 3 = 1.099, and ln 5 = 1.609, for which integers between 4 and 10 (include 4 and 10) can natural logs be found using only four function calculator? List the logs and show work.

ex. ln 4 = ln (2*2)

Answer 1

Can not be find for 7 (prime number).

Can be find for the others.

For example

ln(10) = ln(2*5) = ln(2) + ln(5)

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Answer 2

e^(3 ln 2-2 ln 5) = e^(ln 2^3 - ln 5^2) ← a ln x = ln x^a = e^(ln 8 - ln 25) = e^(ln 8/25) ← ln A/B = ln A - ln B = 8/25 ← e^ln x = x = 0.32