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13 November, 09:08

What is the true solution to the logarithmic equation?

log2 [log2 (sqrt4x) ]=1

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Answers (1)
  1. 13 November, 11:51
    0
    Answer:4

    Step-by-step explanation:

    log₂[log₂ (√4x) ] = 1

    log₂2 = 1

    So we replace our 1 with log₂2

    log₂[log₂ (√4x) ] = log₂2

    log₂ on bothside will cancel each other.

    We will be left with;

    [log₂ (√4x) ] = 2

    log = power of exponential

    √4x = 2²

    √4x = 4

    Square bothside

    (√4x) ² = 4²

    4X = 16

    Divide bothside by 4

    4x/4 = 16/4

    x = 4
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