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31 March, 06:25

Solving an exponential equation

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Answers (1)
  1. 31 March, 06:52
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    To solve an exponential equation, take the log of both sides, and solve for the variable.

    Step-by-step explanation:

    Example 1: Solve for x in the equation tex2html_wrap_inline119.

    Solution:

    Step 1: Take the natural log of both sides:

    displaymath121

    Step 2: Simplify the left side of the above equation using Logarithmic Rule 3:

    displaymath123

    Step 3: Simplify the left side of the above equation: Since Ln (e) = 1, the equation reads

    displaymath127

    Ln (80) is the exact answer and x=4.38202663467 is an approximate answer because we have rounded the value of Ln (80) ...

    Check: Check your answer in the original equation.

    displaymath131
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