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Inessa [10]
3 years ago
10

How would I solve the problem: e^4x=120

Mathematics
1 answer:
borishaifa [10]3 years ago
8 0
Answer:  x =  1.1968729357 ;  or, round to: 1.2 .
____________________________________________ You would take the "ln" (that is, "natural logarithm") of EACH side of the equation:

ln (e^4x) = ln (120); 
______________________
Then continue:

4x  ln e = ln 120

4x = ln 120 ;  (since "ln e = 1")

then divide EACH side of the equation by "4", to isolate "x" on one side of the equation; and to solve for "x" ;
___________________________________
  4x / 4 = (ln 120) / 4 ;
___________________________
 x = (ln 120) / 4 ; 
______________________________
 Using a calculator:
_________________________________________________________
  x = (ln 120) / 4 = (4.78749174278) / 4 =  1.1968729357
Answer:  x =  1.1968729357 ;  or, round to: 1.2 .
____________________________________________ 
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