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11 July, 07:12

Solving Exponential Equations (lacking a common base)

Solve the exponential equation: 7^g=14

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Answers (2)
  1. 11 July, 07:23
    0
    g = 1.356

    Step-by-step explanation:

    Use logs both sides

    log (7^g) = log (7*2)

    glog7 = log7 + log2

    g = 1 + log2/log7

    g = 1.3562071871
  2. 11 July, 07:34
    0
    g = 1.356207187

    Step-by-step explanation:

    7^g = 14

    Take the log on both sides

    log (7^g) = log 14

    We know that log a^b = b log a

    g log 7 = log 14

    Divide each side by log 7

    g log 7 / log 7 = log 14 / log 7

    g = log 14 / log 7

    g = 1.356207187
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