Let's solve the exponential equation 4ex = 80. (a) First, we isolate ex to ge

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Mathematics

Description

Let's solve the exponential equation 

4ex = 80.
 
(a) First, we isolate ex to get the equivalent equation
804 
 
.
 

(b) Next, we take ln of each side to get the equivalent equation
804 
 
.

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Explanation & Answer

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As it says, we start by dividing by 4 on both sides to get the "e" by itself.

e^x = 80/4;   e^x = 20

Now we take the natural log of both sides.

x = ln(20) = 2.9957

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Anonymous
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