Question 177448: ln (sqrt x-8)=5
ln x + ln (x+3)= 1
log (x-6)= log (2x+1)
need step by step instructions on how to do each problem... please include answer as well. Thank you.
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website! 1. 
First note that  , so: 
Now use the rule that  for any  , any  , and any  , so:  → 
Now use the definition  if and only if 
So:  →  , which is the exact answer. Use your calculator to get a numerical approximation if that is what you need.
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First use the rule: The sum of the logs equals the log of the product,  , so:  .
Now use the definition if and only if , so:
 →  → 
Use the quadratic formula: 
 Again, if you need a numerical approximation, use your calculator.
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Use the rule:  if and only if 
So:  . You should be able to handle the rest of this one on your own.
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