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Example 1: Solving the exponential equation 2^(4x) = 5^(x-3) using logarithms and the power rule to find x ≈ -4.1511.

Step-by-step solution to the exponential equation 2^(4x) = 5^(x-3) using logarithmic properties, showing the application of the power rule and solving for x, with the final answer rounded to four decimal places.

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