Question

e^ln x = 3 QUICK HELP???
I don't remember how to do this but I may think the answer is e^3

Answer 1

have you covered logarithms yet?

Answer 2

Yeah, but I am a little rusty since it was quite a while ago.

Answer 3

ok so... let's us use the log cancellation rule of \(\Large {
\bf {\color{brown}{ a}}^{log_{\color{brown}{ a}}x}=x\qquad thus
\\ \quad \\

e^{ln(x)}\implies {\color{brown}{ e}}^{log_{\color{brown}{ e}}(x)}=3\implies ?
}\)

Answer 4

3^3?
Which equals 27

Answer 5

?

Answer 6

I'm not sure. haha

Answer 7

well..... look at the log cancellation rule above :)

Answer 8

can the left-side by simplified?

Answer 9

Alright I'll look it over

Answer 10

OH, is it log3? because of the e's cancel??

Answer 11

hmm ahemm... \(\Large \bf \textit{log cancellation rule }\to {\color{brown}{ a}}^{log_{\color{brown}{ a}}(whatever)}=whatever\)

Answer 12

if the base of the log, MATCHES the base of the expression.... then... :)

Answer 13

3^log3? Sorry, I feel really dumb >.<

Answer 14

notice the "a", they MATCH don't they? and if they do... notice what's the equation in the cancellation rule

Answer 15

Yeah, the a's match. since it is a^loga3???? = 3?

Answer 16

welll if you had a 3 there.. .yes

Answer 17

Okay, that makes sense I: I think there was an x?

Answer 18

\(\textit{log cancellation rule }\to \Large {{\color{brown}{ a}}^{log_{\color{brown}{ a}}(x)}=x\qquad thus
\\ \quad \\

e^{ln({\color{blue}{ x}})}\implies {\color{brown}{ e}}^{log_{\color{brown}{ e}}({\color{blue}{ x}})}=3\implies {\color{blue}{ x}}=3 }\)

Answer 19

Yeah thats what I had up there^^^ xD Thank you soooooo much you helped a lot :)

Answer 20

yw