Solve the exponential equation and express approximate solutions to the nearest hundredth. 7 ^x + 4 = 41 A) x = 1.81 B) x = 1.86 C) x = 2.07 D) x = 1.74 E) x = 2.01

Question

Quizplus · Accepted Answer

First, subtract 4 from both sides to get: 7^x = 37. Next, divide both sides by 7^{to get: x} = 37/7^{.
Approximate 7^{to 2.718 (the number e), then use a calculator to evaluate 37/2.718 = 13.60.
Finally, divide both sides by} to isolate x, and approximate} to 2.72 (also e): x = 13.60/2.72 ≈ 4.999 ≈ 1.86 to the nearest hundredth. Therefore, the answer is B.

Solve the Exponential Equation and Express Approximate Solutions to the Nearest