Question

what is the solution to 2e^x-5=1

Answer 1

does anyone know this?

Answer 2

Of course, there must be someone who understand this question!

Answer 3

Can you isolate \(\large (e^x)\) first?

Answer 4

Umm get ride of the 5?

Answer 5

Can you show me what you did?

Answer 6

\(2e^{x-5} = 1\) is this the question??

Answer 7

the minus 5 isnt a exponent

Answer 8

Ah

Answer 9

Okay..

\(2e^{x} -5= 1\) right??

Answer 10

\[\large e^{x-5}=\frac{1}{2}\]

Answer 11

Yes

Answer 12

Wait zepp question is not that..

Answer 13

>.>

Answer 14

1/2 isnt correct

Answer 15

That's what I though at first, now you all confused me!

Answer 16

Add 5 both the sides first

Answer 17

Okk

Answer 18

\[\large 2e^x-5=1\]Isolate \(e^x \) first

Answer 19

And show me what you get.. @kaylee177

Answer 20

Wrong tag :P

Answer 21

2e^x=6?

Answer 22

Correct, now isolate e^x by eliminating the 2, what you should do?

Answer 23

Divide by 2..

Answer 24

divide?

Answer 25

Yep yep

Answer 26

Zep Zep

Answer 27

ok um e^x=3?

Answer 28

Yes going right..

Answer 29

Now guess How can you find x ??

Answer 30

i have no idea...

Answer 31

x is in the power so you have to use Logarithm here..

Answer 32

Take natural log both the sides:

\[\large \ln(e)^x = \ln(3)\]

Answer 33

Getting this point??

Answer 34

Or, \(\large \log_e\omega=\ln\omega\)

Answer 35

Now there is one power rule you have to remember that:

\[\large \color{green}{\ln(x)^a = a \cdot \ln(x)}\]

Answer 36

Sorry I forgot to add base so:

\[\large \ln_e(e)^x = \ln_e(3)\]

Answer 37

@waterineyes
Wouldn't
\(\large e^x=3\\\large \log_e{3=x}\) a little bit faster?

Answer 38

So from there Zepp what do I do?

Answer 39

I am explaining how you get x only where e gone??

Answer 40

Ok, I'm trying to get x

Answer 41

By applying that formula I have written in green:

\[\large x \cdot \ln_e(e) = \ln_e(3)\]

Answer 42

Remember:

\[\large \color{blue}{\ln_e(e) = 1}\]

Answer 43

Or you can say that:

\[\large \color{blue}{\ln_a(a) = 1}\]

a can be anything..

Answer 44

so once you do that, whats the answer?

Answer 45

So you will get now:

\[\large x(1) = \ln_e(3)\]

\[x = \ln_e(3)\]

Answer 46

Do you know the value of \(ln_e(3)\) ??

Answer 47

No what is it?

Answer 48

o.o

Answer 49

\[\ln_e(3) = 1.0986\]

Answer 50

Do you know the base of ln @Herp_Derp

Answer 51

Ok thanks so much! I have more questions, please be here! lol

Answer 52

I am just showing @kaylee177 he is a beginner for logs..

Answer 53

No need...

Answer 54

She lol she is a beginner

Answer 55

I always when used he the reply comes she..

I made callisto he..