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QuizMultiple Choice

Solving Exponential and Logarithmic Equations — Quiz

Question 1 • Mathematics III

What is the solution to 3 plus 4 e raised to the x plus 1 power is equal to 11 ?

Answer
A
x is equal to natural log 2 minus 1
B
x is equal to natural log 2 plus 1
C
x is equal to the fraction with numerator e plus 2 and denominator e
D
x is equal to 1 over e

Explanation

Subtract 3 from both sides to get 4e^(x+1) = 8, then divide by 4: e^(x+1) = 2. Taking the natural logarithm gives x + 1 = ln 2, so x = ln 2 − 1. The correct choice is “x is equal to natural log 2 minus 1.”

AI-written and checked against the verified answer.

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