Question

Please Help! I will fan and medal. Use the inverse properties of logarithms to simplify the expression.

e^(ln 3)

Answer 1

Rule:

\[\LARGE e^{\ln(x)} = x\]

\[\LARGE \ln\left(e^x\right) = x\]

Answer 2

Is that the simplified equation? @jim_thompson5910

Answer 3

you will use one of those two equations to answer the question

Answer 4

how do i know which one

Answer 5

the question is e^(ln(3))

there's only one number in it: 3

so why not replace x with 3

Answer 6

and then try to match up the question with one of the equations given above

Answer 7

Okay so it would be the first equation?
@jim_thompson5910

Answer 8

that is correct

Answer 9

So what now

Answer 10

replace x with 3

Answer 11

e^(ln(3))=3 @jim_thompson5910

Answer 12

yes

Answer 13

the e^x and ln(x) functions are inverses of each other

one goes forward, the other takes you in reverse
so they undo each other
it's like multiplication and division

Answer 14

alright so now what? @jim_thompson5910

Answer 15

you're done. The answer is 3

Answer 16

\[\LARGE e^{\ln(x)} = x\]

\[\LARGE e^{\ln(3)} = 3\]

Answer 17

\(\LARGE e^{\ln(3)}\) simplifies to \(\LARGE 3\)

Answer 18

so the answer is 3 @jim_thompson5910

Answer 19

yes

Answer 20

thank you @jim_thompson5910

Answer 21

you're welcome