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Author Topic: Two ways of solving logarithm equation example 2  (Read 462 times)
MathTutor
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« on: June 15, 2010, 12:33:23 PM »

Example 2: Solve log4y+log2y=9
 
Solution Way 1: Use change of base: log4y=log2y/log24=1/2 log2y
1/2 log2y+log2y=9
1.5 log2y=9
      log2y=6
      y=26=64

Solution Way 2: Use change of base: log4y=log2y/log24=1/2 log2y
 log2y1/2+log2y=9log22
log2y1.5=log229
y1.5=29
y=(29)2/3
y=26=64
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