Question

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

Answer 1

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); 
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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" ;
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  4x / 4 = (ln 120) / 4 ;
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 x = (ln 120) / 4 ; 
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 Using a calculator:
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  x = (ln 120) / 4 = (4.78749174278) / 4 =  1.1968729357
Answer:  x =  1.1968729357 ;  or, round to: 1.2 .
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