4
QuizMultiple Choice

Solving Exponential and Logarithmic Equations — Quiz

Question 4 • Mathematics III

What is the value of x in the given equation? 1 plus 2 e raised to the x plus 1 power is equal to 9

Answer
A
x is equal to natural log 4
B
x is equal to natural log 4 minus 1
C
x is equal to log 4
D
x is equal to log 4 minus 1

Explanation

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

AI-written and checked against the verified answer.

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