algebra

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Solve the equation below. Please show all of your work
log_7(x + 3/7) = -2

  • algebra -

    7^ [log_7(x + 3/7)]
    = x + 3/7 = 7^-2 = -1/49

    x + 3/7 = -1/49
    x = -21/49 - 1/49 = -22/49

  • algebra -

    You make it look so easy and I have been pounding my head on the wall. Thank you!

  • algebra -

    except for the sign error
    7^ [log_7(x + 3/7)]
    = x + 3/7 = 7^-2 = 1/49

    x + 3/7 = 1/49
    x = -21/49 + 1/49 = -20/49

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