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Find the solution of the exponential equation, correct to four decimal places. e¹⁻⁴ˣ = 2

User Jit B
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Final answer:

To solve the exponential equation e^(1-4x) = 2, isolate x by taking the natural logarithm of both sides. Then, rearrange the equation and solve for x using a calculator. The value of x is approximately -0.1242.

Step-by-step explanation:

To solve the exponential equation e^(1-4x) = 2, we need to isolate the variable x. Taking the natural logarithm (ln) of both sides gives ln(e^(1-4x)) = ln(2), which simplifies to (1-4x) = ln(2).

Rearranging the equation to isolate x, we have -4x = ln(2) - 1. Dividing both sides by -4 gives x = (ln(2) - 1)/-4. Using a calculator, the value of x is approximately -0.1242.

User Josephap
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