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anonymous

  • one year ago

Find the solution to the equation. e^5x=25

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  1. anonymous
    • one year ago
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    is e an variable in your equation?

  2. Nnesha
    • one year ago
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    take ln both sides and (5x) is an exponent right ?

  3. anonymous
    • one year ago
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    yess

  4. Nnesha
    • one year ago
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    alright so you can take natural log both sides to cancel out e \[\huge\rm \cancel {ln e}^x = x \]

  5. anonymous
    • one year ago
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    ln25=5x?

  6. Nnesha
    • one year ago
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    \[\huge\rm \color{ReD}{ln }e ^{5x} = \color{Red}{\ln} 25\]

  7. Nnesha
    • one year ago
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    yes right

  8. anonymous
    • one year ago
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    okay so now what?

  9. Nnesha
    • one year ago
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    use calculator for ln 25

  10. Nnesha
    • one year ago
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    and then solve for x

  11. anonymous
    • one year ago
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    i got 3.2188 when i did ln25

  12. Nnesha
    • one year ago
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    okay so 5x = 3.2188 solve for x divide both sides by 5

  13. anonymous
    • one year ago
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    0.6437?

  14. Nnesha
    • one year ago
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    yes right

  15. anonymous
    • one year ago
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    could you help me with one more?

  16. Nnesha
    • one year ago
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    i'll try

  17. anonymous
    • one year ago
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    2e^x-1=0

  18. Nnesha
    • one year ago
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    so exponent is (x-1) or just x ?

  19. anonymous
    • one year ago
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    just x

  20. Nnesha
    • one year ago
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    \[\huge\rm 2e^x -1 = 0\] first solve for e^x

  21. anonymous
    • one year ago
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    2e^x=1?

  22. Nnesha
    • one year ago
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    yes right now divide both sides by 2

  23. anonymous
    • one year ago
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    e^x=2?

  24. Nnesha
    • one year ago
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    no. what about one ?

  25. Nnesha
    • one year ago
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    2/1 = 2 but 1/2 isn't equal to 2

  26. anonymous
    • one year ago
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    0.5?

  27. Nnesha
    • one year ago
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    yes right right

  28. Nnesha
    • one year ago
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    e^x = .5 solve for x

  29. anonymous
    • one year ago
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    it would be .5, wouldnt it?

  30. Nnesha
    • one year ago
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    no how would you cancel out e ?

  31. anonymous
    • one year ago
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    ln.5=x

  32. Nnesha
    • one year ago
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    yes right ln.5 not just .5 :=)

  33. anonymous
    • one year ago
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    -0.6931

  34. anonymous
    • one year ago
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    okay this is the last one i promise! -3e^4x +11=2

  35. Nnesha
    • one year ago
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    right

  36. Nnesha
    • one year ago
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    same like the last one try it and let me know what you get i'll check it

  37. anonymous
    • one year ago
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    0.2747?

  38. Nnesha
    • one year ago
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    nice yes that's right :=)

  39. anonymous
    • one year ago
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    thank you! I get it now, but i just ran across this one that i dont know how to do it with the exponent like that , its e^x+1 =1.461

  40. anonymous
    • one year ago
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    i got 0.3791 so far but im stuck on dividing it by x+1

  41. Nnesha
    • one year ago
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    x is an exponent or x+1 is an exponent ?

  42. anonymous
    • one year ago
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    x+1

  43. anonymous
    • one year ago
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    is the answer -6.209?

  44. Nnesha
    • one year ago
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    alright you don't have to divide by x+1 remember to cancel out something thing from one side you have to apply opposite of addition/subtraction/division/multiplication so x+1 <--- here is x plus 1 adding so do opposite of one addition to cancel out one from left side

  45. Nnesha
    • one year ago
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    yes that's right! :-)

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