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Log Equation

 
 
fdrhs
 
Reply Mon 11 Jul, 2005 04:37 pm
I came across a crazy log equation that I have never seen before.

Here is the question: SOLVE FOR X

log_2 (x^2 + 1) - log_4 (x^2) = 1

HINT: Change (log_4 (x^2) to base 2

Maybe someone can start by teaching me how to change to base.
What exactly does it mean to change to base 2?
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Type: Discussion • Score: 1 • Views: 612 • Replies: 5
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markr
 
  1  
Reply Mon 11 Jul, 2005 07:39 pm
log_b(a) = log_c(a) / log_c(b)
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fdrhs
 
  1  
Reply Tue 12 Jul, 2005 08:26 am
How?
How do I apply this formula to change from one base to another?
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markr
 
  1  
Reply Tue 12 Jul, 2005 09:30 am
substitute for a, b, and c

For example, to switch from base 4 to base 2:
log_4(16) = log_2(16) / log_2(4)
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fdrhs
 
  1  
Reply Tue 12 Jul, 2005 10:35 am
ok
Got it
0 Replies
 
fdrhs
 
  1  
Reply Tue 12 Jul, 2005 10:36 am
ok
Got it.
0 Replies
 
 

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