Question

can someone show the steps in solving lne^4

Answer 1

do you want the expansion of it ?

Answer 2

yes please!

Answer 3

4 -- done. What really is wanted?

Answer 4

@tkhunny, I think they were looking more for an explanation with principles instead of the answer; though your answer is completely correct!

Well the principle of this is that:
\[\log_a{(a^x)}=x\]
Reason being is we know that \(\log_a{b^c}=c\times\log_a{b}\) So therefore, we simplify:
\[\log_a{a^x}=x\log_a{a}=x(1)=x\]
So therefore:
\[\ln(e^4)=\log_e{e^4}=4\log_e{e}=4(1)=4\]

Answer 5

thanks a ton, thats what I was looking for!