Question

9^(2x-1) =27^(x-4)

Answer 1

9 and 27 are both powers of 3.

Answer 2

9 is 3 to the 2nd power, yah?
What about 27?

Answer 3

3^9?

Answer 4

Lemme put that into my calculator a sec,
3^9 = 19683

woah +_+

Answer 5

Oh! Umm 9^3?

Answer 6

what are you doing silly billy?

\(\Large\rm 9\cdot3 = 27\) right?

Answer 7

I can't figure out why you're putting a power in there..

Answer 8

Yes And Oh It Just Seemed It Should Be Sorry

Answer 9

\(\Large\rm 9\cdot3 = 27\)
We want 27 in terms of 3's, not 9 and 3.
So how many 3's is that being multiplied together?

Answer 10

No No 3!

Answer 11

Yah there we go.
So 27 can be written as
3*3*3 or 3^3

Answer 12

Oh Okay So The Problem CUrrently Looks Like This: 3^2)^(2x-1)=3^3)^x-4)

Answer 13

Mmm ok good!
Now you need to bring the 2 and (2x-1) together on the left side.
Do you remember your exponent rule that allows you to do that?

Answer 14

a^m)^n?

Answer 15

\(\large \bf (a^{\color{red}{ n}})^{\color{blue}{ m}}\implies a^{{\color{red}{ n}}\cdot {\color{blue}{ m}}}\)

Answer 16

\(\bf 9^{(2x-1)} =27^{(x-4) }\implies (3^2)^{(2x-1)}=(3^3)^{(x-4) }\implies (3)^{\square ?}=(3)^{\square ?}
\)

Answer 17

So 2(2x+4)== 4x+8?= 2x+2? So 3^2x+2

Answer 18

How does 4x+8 = 2x+2?

Answer 19

2x+4?

Answer 20

I Simplified By Dividing Each Side By 2 Oh Yeah That's What I mEANT! sORRY. C:

Answer 21

I don't understand :c
where did 2x+4 come from..?

Answer 22

2(2X+4)== 4X+8 DIVIDE BY 2=== 2X+4== X+2

Answer 23

Oh!!!!!

Answer 24

Again I'll ask..... where did 2x+4 come from?

You have 2(2x+4) on the left for some reason... where. is. that. coming. from?

Answer 25

2(2x-1)==4x-2

Answer 26

\[\Large\rm 3^{4x-2}\]Ok good that takes care of the left side.
Don't divide a 2 out, I'm not sure what makes you think you can do that :U

Answer 27

My Old Public School Was Crap. And Okays So 3(x-4)=3x-12

Answer 28

\[\Large\rm 3^{4x-2}=3^{3x-12}\]Mmmm k looks good!

Answer 29

Is That It? Or Don't I Equate Those?

Answer 30

Yes equate.

Answer 31

the exponents*

Answer 32

4x-2=3x-12 -x=-10 x=10 So 3^10

Answer 33

Mmmmm I think you missed a negative somewhere...
lemme check...

Answer 34

ya check your work again :o

Answer 35

3x-4x== -x
-12- -10 = -2 -x=-2 x=2

Answer 36

whut? +_+
oh boy your math is so funky..
you gotta brush up on some of your arithmetic lady gal!

Answer 37

\[\Large\rm 4x-2=3x-12\]Subtracting 3x from each side gives,\[\Large\rm x-2=-12\]Adding 2 to each side gives,\[\Large\rm x=-10\]

Answer 38

Sory Im Not Great With Math

Answer 39

3^-10

Answer 40

Thank You c:

Answer 41

I dunno where that 3 is coming from :\
Your answer is x=-10.

Answer 42

ya :3

Answer 43

Oh Okays! lol