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Evaluate without using a calculator

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1 Answer

1) e ^ ln 2 =x 
 
 ln ( e^ln2 ) = ln 2 = ln X
 
     X = 2
 
2 ) ln ( 1/ √e) = x 
 
      ln ( e^-1/2 ) = X
 
       -1/2 = X
 
3 ) ( 1.45) ^ x = 25
 
      X log 1.45 = log 25
  
      X = log 25/ log 1.45 
 
       X = 8.66 ( Calculator)
 
4 ) 
 
    10 = 22( 0.87) ^q
 
     q log 0.87) = log( 10/22) 
 
     q = log ( 10/22)/ log 0.87
 
     q = 5.66 ( Calculator)