Middle School

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What is the solution to the equation below? Round your answer to two decimal places.

3. \( e(x) = 11.76 \)

A. \( x = 50.40 \)

B. \( x = 1.37 \)

C. \( x = 0.59 \)

D. \( x = 40.98 \)

Answer :

Answer:

B. x ≈ 1.37

Step-by-step explanation:

Given the exponential function 3e(x)= 11.76

First we divide both sides of the equation by 3 to have;

3e(x)/3= 11.76/3

e(x)= 3.92

To remove the exponential function, we will tale the ln of both sides of the equation to have;

[tex]lne^{x} = ln3.92\\x = ln3.92\\x =1.366\\[/tex]

x ≈ 1.37

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Rewritten by : Barada

Answer: B

Step-by-step explanation: