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11 December, 04:36

Solve the following exponential equations.

2 (4^x) + 4^ (x+1) = 342

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Answers (1)
  1. 11 December, 07:59
    0
    x ≈ 2.91644500708

    Step-by-step explanation:

    The equation can be simplified to ...

    2 (4^x) + 4 (4^x) = 342

    6 (4^x) = 342

    4^x = 57

    Taking logarithms, we get ...

    x = log₄ (57) = log (57) / log (4)

    x ≈ 2.91644500708
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