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30 August, 01:13

Solve each of the following equations for x.

2^x - 1 = 0

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Answers (1)
  1. 30 August, 01:24
    0
    The solution to the equation is x = 0

    Step-by-step explanation:

    Hi there!

    First, let's write the equation:

    2ˣ - 1 = 0

    To solve it for x, let's add 1 to both sides of the equation:

    2ˣ = 1

    Apply log to both sides of the equation

    log (2ˣ) = log (1)

    Apply logrithm property: log (2ˣ) = x log (2)

    x log (2) = log (1)

    x log (2) = 0

    x = 0

    The solution is x = 0

    Let's check the solution:

    2ˣ - 1 = 0

    x = 0

    2⁰ - 1 = 0

    1 - 1 = 0

    0 = 0

    The solution is correct!

    Have a nice day!
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