Question

What is the solution of 2^2x = 8x + ^1?

Answer 1

Option A: -4

Option B: -3

Option C: -1

Option D: 1/2

Answer 2

is that how its actually written?

Answer 3

yes

Answer 4

just ^1 not x^1

Answer 5

Yep

Answer 6

Which is why I am confused.

Answer 7

lol im with you on that

Answer 8

If you can help answer though it would be fantasic

Answer 9

can you screen shot the question?

Answer 10

sure give me a moment

Answer 11

there you go :)

Answer 12

i feel like its 3 but i don't want you to get it wrong

Answer 13

this is what you wrote dear \[2^{2x}=8x+ ^1\]

Answer 14

Oh my gosh I didnt meant too
oops

Answer 15

be careful when you write thing you want to make sure it's written well

Answer 16

no problem back to your problem

Answer 17

what ideas have tried so far

Answer 18

any work?

Answer 19

i want you to look at the problem and tell me what can you do
show me some work in other words

Answer 20

I am not sure how to approach the problem. We only did a few in class and I didn't understand it then either.

Answer 21

well you should probably start from the basics
you can't attack a problem with nothing in mind
you have to have some baggage with you

Answer 22

sorry i meant -3

Answer 23

let's pick it from some algebra knowledge \[((a)^n)^m\]

Answer 24

do you know hod to deal with this ?

Answer 25

I probably should, but I dont. :/

Answer 26

well true you have done algebra so this should be obvious to you
it gonna be \[a^{n\times m}\]

Answer 27

now you do want to keep that one in mind because algebra is key to all the stuff in math

Answer 28

in our problem here we want to go back words

Answer 29

we are doing this to the right hand side okay

Answer 30

Okay! :)

Answer 31

\[2^{2x}=8^{x+1} \Longrightarrow 2^{2x}=(2^3)^{x+1}\]

Answer 32

i took 8 and made is 2^3
but 8 is raised to power x+1 so 2^3 is raised to x+1 as well

Answer 33

good so far

Answer 34

Well, why did you make the 8 to a 2^3

Answer 35

well you have to know in the back of you mind that 8=2x2x2 which the same as 2^3
so i used that above

Answer 36

(I am trying to understand. Im sorry.)

Answer 37

Oh okay

Answer 38

yeah i just explained never get afraid of asking :)

Answer 39

so we agree that 2^3=8

Answer 40

Yes okay, I understand

Answer 41

good! now go back to what i said earlier about some algebra skills
\[(a^n)^m=a^{n\times m}\]
we need this law for our case we have
\[(2^3)^{x+1}\]

Answer 42

what can you do

Answer 43

One moment ill brb

Answer 44

no problem take your time and reflect

Answer 45

I am really sorry I have to go, my mother wants us to go out. I thank you for your help though!

Answer 46

I will try to work on it later and tag you in it

Answer 47

no problem:)
anytime!