Question

Why is e^ lnx^3 equal to just x^3?

Answer 1

properties of logarithms...
\[\huge e^{\ln a} \implies e^{\log_e a} \implies a\]
do you remember this property?

Answer 2

e^(ln(x)) = x
ln(e^x) = x

They are inverse functions.

Answer 3

e is a inverse Function of ln so they cancles off....like \[\sin(\sin ^{-1} 7) = 7\]

Answer 4

you can;t take the arcsin of 7....

Answer 5

lol i suppose that's true :) Example gone bad... i hate when that happens XD

Answer 6

oh...Sorry.....Max value of sin is 1.....) hm...hm