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anonymous

  • 5 years ago

how would I solve log(4x+14)^841=2

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  1. jhonyy9
    • 5 years ago
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    so first we need to know what is the base of log(4x+14)

  2. anonymous
    • 5 years ago
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    841 log ( 4x + 14 ) = 2 log ( 4x + 14) = 2/841 4x + 14 = e^(2/841) 4x = e^(2/841) - 14 x = [ e^(2/841) - 14]/4

  3. anonymous
    • 5 years ago
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    4x+14 is the base

  4. anonymous
    • 5 years ago
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    scrap my answer then

  5. jhonyy9
    • 5 years ago
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    but than the base how can being on exponent ?

  6. anonymous
    • 5 years ago
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    841 log ( 4x + 14 ) = 2 log ( 4x + 14) = 2/841 4x + 14 = 10^(2/841) (correction) 4x = 10^(2/841) - 14 (correction) x = [ 10^(2/841) - 14]/4 (correction)

  7. jhonyy9
    • 5 years ago
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    Busterkitten i think you need rewrite please your exersice correct

  8. anonymous
    • 5 years ago
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    To cancel log we need to raise to the power of 10 and not e, if it was ln then we would have used e.

  9. anonymous
    • 5 years ago
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    log(4x+14) 841=2

  10. jhonyy9
    • 5 years ago
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    - so than you know the logarithm property how we can changeing the base of one logarithm ?

  11. anonymous
    • 5 years ago
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    |dw:1327236337332:dw|

  12. jhonyy9
    • 5 years ago
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    what is this ?

  13. anonymous
    • 5 years ago
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    That's what we have used to cancel the log on one side.

  14. jhonyy9
    • 5 years ago
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    - no - so for example 2 we can rewrite like 2log (base 2) 2 because log(base2)2 =1

  15. anonymous
    • 5 years ago
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    Watch this you will understand this logarithmic property. http://patrickjmt.com/properties-of-logarithms-part-2/

  16. jhonyy9
    • 5 years ago
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    Busterkitten - so for this we need to know sure the base of first logarithm for we can rewrite the 2 in the form of this logarithm

  17. jhonyy9
    • 5 years ago
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    hope so much that is understandably sure

  18. anonymous
    • 5 years ago
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    If the base is not given it is always 10.

  19. jhonyy9
    • 5 years ago
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    jimmyrep please you make this understandably for ... thank you

  20. jhonyy9
    • 5 years ago
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    nikhil389 - no this not is sure that log sign always log base 10 - so please you check on wikipedia

  21. jhonyy9
    • 5 years ago
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    so for example how i have learned that lg sign the logarithm on base 10

  22. jhonyy9
    • 5 years ago
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    log without base sign logarithm on base 2 and ln sign logarithm on base natural

  23. anonymous
    • 5 years ago
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    I think i m really confused what the question actually is, plz rephrase it what is the base ?

  24. jhonyy9
    • 5 years ago
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    - so i think that this can rewrite it sure only Busterkitten

  25. anonymous
    • 5 years ago
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    I'm so sorry for the confusion it's log base 4x=14 of 841 = 2

  26. anonymous
    • 5 years ago
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    4x+14 i mean

  27. jhonyy9
    • 5 years ago
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    so than you need rewrite the first term of logarithm with base changed

  28. jhonyy9
    • 5 years ago
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    on 841

  29. jhonyy9
    • 5 years ago
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    hope that you will can make it sure

  30. jhonyy9
    • 5 years ago
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    if you know the property of logarithm

  31. anonymous
    • 5 years ago
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    so is it 4x+14^2=841

  32. jhonyy9
    • 5 years ago
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    sorry i think this is confused now why you think that like ?

  33. jhonyy9
    • 5 years ago
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    so this is sure that 2 can being rewrit in the form of logarithm like logarithm on base of (4x+14) from (4x+14) squared

  34. jhonyy9
    • 5 years ago
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    so than (4x+14) squared = 841 is it ok ?

  35. jhonyy9
    • 5 years ago
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    can you solve this ?

  36. anonymous
    • 5 years ago
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    is it 1.8125?

  37. jhonyy9
    • 5 years ago
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    can you show your calcules please ?

  38. amistre64
    • 5 years ago
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    "log" has been highly confused lately; when I was growing up it meant base10, but apparently these days it can be used to express the natural log as well. Without knowing the base (10 or e) we cant really obtain a "correct" answer.

  39. dumbcow
    • 5 years ago
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    this isn't hard you just have to convert to exponential form to get rid of the log log(b) x = y <--> x = b^y (4x+14)^2 = 841 4x +14 = 29 4x = 15 x = 15/4 = 3.75

  40. anonymous
    • 5 years ago
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    hey where did the exponent go?

  41. dumbcow
    • 5 years ago
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    tanu, i took sqrt of both sides sqrt(x^2) = x

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