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January 30, 2015

January 30, 2015

Posted by **Jon** on Sunday, October 3, 2010 at 7:45pm.

3^ln 2, 2^3, 2^ln 3

*do not use a calculator, and explain your choices

Obviously, 2^3=8

So, instinctively, I entered the other values into my calculator just to rank the quantities using decimal places. However, in my calculator, 3^ln 2 and 2^ln 3 both yield: 2.1414886064.

So, can someone explain this problem to me please!

- Calculus -
**Damon**, Sunday, October 3, 2010 at 8:02pm2^3

take ln and get ln(2^3) = 3 ln 2

3^ln 2

take ln and get ln (3^ln 2) = ln 2 ln 3

2^ln 3 also gives ln 3 ln2

and ln 3 <3

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