Mathematics: Let s solve the exponential equation 4ex = 80. (a) First, we isolate ex to get the equivalent equation Correct: Your answer is correct. . (b) Next, we take ln of each side to get the equivalent equation Incorrect: Your answer is incorrect. . (c) Now we use a calculator to find x ≈ 2.996 Correct: Your answer is correct. . (Round your answer to three decimal places.)

Let s solve the exponential equation 4ex = 80. (a)

alicat20

07.02.2022

The solution of the exponential equation $4e^{x} = 80$ is

x = 2.996

Step-by-step explanation:

To solve the exponential equation $4e^{x} = 80$

First, we will isolate $e^{x}$ by dividing both sides of the equation by 4, so that we get

$\frac{4e^{x}}{4} = \frac{80}{4}$

$e^{x} = 20$

Now, we will take the ln of both sides of the equation to get

$ln(e^{x}) =ln(20)$

(NOTE: $ln(e^{x}) = x$ )

Then,

x =ln(20)

x = 2.9957

∴ x = 2.996 (to three decimal places)

Hence, the solution of the exponential equation $4e^{x} = 80$ is

x = 2.996

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22savage2017

20.11.2021

Not sure if this is what you want, but there are 14 5-point questions and 10

3-point questions.

Hope it helps <3

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