Solve the exponential equation and express approximate solutions to the nearest hundredth. e^{x - 4} = 38 A)x = 7.11 B)x = 4.00 C)x = 8.17 D)x = 7.64 E)x = 7.52

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Quizplus · Accepted Answer

To solve the equation e^(x - 4) = 38, take the natural logarithm of both sides: ln(e^(x - 4)) = ln(38). This simplifies to x - 4 = ln(38). Solving for x gives x = ln(38) + 4. Calculating this gives approximately x = 7.64.

Solve the Exponential Equation and Express Approximate Solutions to the Nearest