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Anettt [7]
3 years ago
5

What is the solution to 4+5e^x+2=11

Mathematics
1 answer:
Greeley [361]3 years ago
4 0
4 + 5 *e^{x+2} = 11
5 *e^{x+2} = 11 - 4
5 *e^{x+2} = 7
e^{x+2} = 7/5

taking ln for the both sides
∴ ln e^{x+2} = ln(7/5)
∴ (x+2) ln e = ln (7/5)  ⇒ ln e = 1
∴ x + 2 = ln (7/5)
∴ x = ln (7/5) - 2

Using calculator
∴ x ≈ -1.66




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