# hey cud any1 help please

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given that 32 sqrt (2) = 2^a, find the value of a

Posted: 30-10-12 16:02 by Waqar Khanny :)

khanny wrote:

given that 32 sqrt (2) = 2^a, find the value of a

32 √2=2^a

32 = 2^5

√2= 2^1/2

So, therefore- 32*√2= 2^5 * 2^1/2 (add the powers as you're multiplying it) = 2^ 5 + 1/2= 2^11/2

So,  a=11/2 or 5.5

Modified 3 times, last modified by gaffer dean on Fri 2nd November, 2012 @ 17:29

Posted: 31-10-12 20:39 by gaffer dean

Using logs -

32sqrt(2) = 2^a

log 10 (32sqrt(2)) = log 10 (2^a)

log 10 (32sqrt(2)) = a log 10 2

So a = log 10 (32sqrt(2)) / log 10 2 = 5.5

or simply log 2 32sqrt(2) = 5.5

Posted: 01-11-12 18:03 by Sanchia

thanx sanchia buhh im not allowed to use a calculator :P

Posted: 01-11-12 18:05 by Waqar Khanny :)

khanny wrote:

thanx sanchia buhh im not allowed to use a calculator :P

see my post above

Posted: 02-11-12 17:28 by gaffer dean

yeah thanx gaffer dean ^_^

Posted: 02-11-12 17:34 by Waqar Khanny :)

khanny wrote:

yeah thanx gaffer dean ^_^

no problem

Posted: 02-11-12 21:37 by gaffer dean