Help finding x

  • Thread starter Matrix
  • Start date
4
0
Hi, I am having trouble finding x for the following exquation:
2x=16-3/4 * sqrt(2)

Any help on solving it would be much apprecitated.
 
Last edited:

dduardo

Staff Emeritus
1,894
3
why don't you use logs.

2^x = 16^(-3/4) * sqrt(2)

x*ln(2) = ln(16^(-3/4) * sqrt(2) )

x = ln(16^(-3/4) * sqrt(2) ) / ln(2)
 

jcsd

Science Advisor
Gold Member
2,085
11
reduce it further to:

x = -2.5
 

dduardo

Staff Emeritus
1,894
3
jcsd, your i see you changed your reduction. The previous one was obviously wrong.
 
4
0
Is it possible to find x not using logs?
 

jcsd

Science Advisor
Gold Member
2,085
11
Duardo: No, it was perfectly correct.
 

dduardo

Staff Emeritus
1,894
3
Originally posted by Matrix
Is it possible to find x not using logs?
yes.

you can convert 16 to a base 2

16^(-3/4) = (2^4)^(-3/4) = 2^(-3)

therefore

2^x = 2^(-3) * 2^(1/2)

2^x = 2^(-5/2)

x = -2.5
 
412
2
This is probably off topic, but don't you just love logs?
 

Related Threads for: Help finding x

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving

Hot Threads

Top