Algebra - simple problem

71

Vivek @ Born this Way ·2012-03-27 04:03:30

-

UP 0 DOWN 0
Post on FacebookPost anonymously?

11

Sambit Senapati ·2012-03-27 04:35:11

x=4 doesnt satisfy.
x=2^{\sqrt{2}}

UP 0 DOWN 0
Post on FacebookPost anonymously?

21

mohit_ sharma ·2012-03-27 04:53:02

ans given is (2^-âˆš2,2^âˆš2)

UP 0 DOWN 0
Post on FacebookPost anonymously?

262

Aditya Bhutra ·2012-03-27 10:58:39

rearrange the equation as

log₂4x =log₂x . log₂2x

now let log₂x =t

thus ,
2+t =t(1+t)

t²=2

t=Â±âˆš2

x = 2^Â±âˆš2

UP 0 DOWN 0
Post on FacebookPost anonymously?

21

mohit_ sharma ·2012-03-27 11:07:06

thanks Aditya

UP 0 DOWN 0
Post on FacebookPost anonymously?

21

mohit_ sharma ·2012-03-27 20:17:23

but please explain how you got the statement log₂4x =log₂x . log₂2x

UP 0 DOWN 0
Post on FacebookPost anonymously?

1057

Ketan Chandak ·2012-03-27 22:46:06

@mohit....

by inverting the denominator and numerator on both sides we get the above result...

UP 0 DOWN 0
Post on FacebookPost anonymously?

262

Aditya Bhutra ·2012-03-27 22:46:07

using log_ax = 1log_xa

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

blueivy ·2012-03-29 11:16:43

You can simply convert log₂x as logx /log2
so the expression will be quadratic in terms of log x
i.e.
log2 = 1
logx(logx+log2) (2log2 + logx)

you know how to solve further

UP 0 DOWN 0
Post on FacebookPost anonymously?

simple problem

9 Answers

Your Answer

Similar Questions

simple problem

9 Answers

Your Answer

Add Image

Similar Questions