math check please
posted by Stephanie on .
1) True/false: For any real number x,
ln e^x = x.
I think that is true.
2)true/false:
(2 ln x)/ ln 10 = ln x^2  ln 10 for all positive x.
I think this is true too.

1) True. That's the definition of the natural log.
2) No.
ln(x^2/10) = 2lnx  ln 10
That's not the same as 2lnx/ln10
ln x^{2}/ln 10 = log_{10}x^2