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Anettt [7]
3 years ago
14

What is the solution of the equation e^xe^2x = 4? Round your answer to the nearest hundredth.

Mathematics
1 answer:
Stells [14]3 years ago
8 0
The equation is:

[e^x] [e^(2x)] = 4

1) Applying property of multiplication of powers wiith same base =>

e ^ (x + 2x) = 4

=> e ^ (3x) = 4

2) Applying logarigth properties

3x = ln(4)

=> x = ln(4) / 3 ≈ 1.38629 / 3 ≈ 0.4621

Answer: x = ln(4) / 3 ≈ 0.4621
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