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1-(5/6)^x>=9/10

 Aug 2, 2015

Best Answer 

 #1
avatar+128475 
+5

1-(5/6)^x>=9/10  rearrange as

 

1 - 9/10  ≥ (5/6)^x    

 

1/10 ≥ (5/6)^x   or

 

(5/6)^x ≤ 1/10      take the log of both sides

 

log(5/6)^x ≤ log ( 1/10)  and we can write

 

x log(5/6) ≤ log ( 1/10)    divide both sides by log(5/6).....note....since this  is negative, we must reverse the inequality sign

 

x ≥ log (1/10) / log (5/6)

 

x ≥  12.629  (approx)

 

 

 Aug 2, 2015
 #1
avatar+128475 
+5
Best Answer

1-(5/6)^x>=9/10  rearrange as

 

1 - 9/10  ≥ (5/6)^x    

 

1/10 ≥ (5/6)^x   or

 

(5/6)^x ≤ 1/10      take the log of both sides

 

log(5/6)^x ≤ log ( 1/10)  and we can write

 

x log(5/6) ≤ log ( 1/10)    divide both sides by log(5/6).....note....since this  is negative, we must reverse the inequality sign

 

x ≥ log (1/10) / log (5/6)

 

x ≥  12.629  (approx)

 

 

CPhill Aug 2, 2015

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