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Solve for x: log, (x+1)+ log,(x-1) = log, 8 a)x=4 4 b) x= +3 c)r= 3 d) No solution

Solve for x: log, (x+1)+ log,(x-1) = log, 8 a)x=4 4 b) x= +3 c)r= 3 d) No solution

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve for x: log,(x+1)+log,(x - 1) = log, 8 a)x= 4 b) x= ±3 c)r= 3 d) No solution axtl 15
Transcribed Image Text:Solve for x: log,(x+1)+log,(x - 1) = log, 8 a)x= 4 b) x= ±3 c)r= 3 d) No solution axtl 15
Expert Solution
Step 1

Using the properties of the logarithmic functions, it can be written that :

  • loga b+loga c=logab·c
  • If loga b=loga c, then b=c
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