Question

Solve..

Solve: 64^(x – 3) = 42x

Answer 1

Log both sides.

Answer 2

Then?

Answer 3

(x-3)log64=log42x

Answer 4

http://www.wolframalpha.com/input/?i=64%5E%28x-3%29%3D42x

Answer 5

xlog64-3log64=log42x

Answer 6

Hell no. i better get something to eat.

Answer 7

O.o

Answer 8

Im too lazy, tell me the next step

Answer 9

Iam sure you can take it on after that.

Answer 10

DO IT

Answer 11

lol saif

Answer 12

Hmm..

Answer 13

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Answer 14

^ lawlz

Answer 15

Nice. Now finish the problem.

Answer 16

Badman! wth

Answer 17

What?

Answer 18

wth = what the helll.
Do it

Answer 19

Umm..Naw, thats alrtite :D

Answer 20

Oh, and plz watch language, Thanks!

Answer 21

\[x\approx 9.08262\times 10^{-8}\]
\[x\approx 4.24643\]

Answer 22

After this,

xlog64-3log64=log42x
?

Answer 23

How did you do it?

Answer 24

@Seafood

Answer 25

do it man

Answer 26

I want to know how your setup looked like.

Answer 27

@agreene will do it.. dont worry.

Answer 28

64^(x – 3) = 42x use mobius transform:
x=1/21 2^(-19+6 x) use mobius transform:
64^x=11010048 x log both sides
xlog64=log1101048x solve using log product function W(z)

Answer 29

I used CAS, but thats basically how you approach it if you didnt want a huge headache.

Answer 30

That's something which got over my head. hehe
How can we do after this?
just tell me 1 step
xlog64-3log64=log42x

Answer 31

@agreene

Answer 32

I have no idea--that's not the way I would try and solve it. partially because im horrible with logs. I suppose you would want to isolate the variables so the next step would probably be:
xlog64-log42x=3log64

Answer 33

Alright thanks.

Answer 34

@GOODMAN ?

Answer 35

http://en.wikipedia.org/wiki/Lambert_W_function
might be of use.

Answer 36

specifically, examples/applications #4

Answer 37

WOAH!