Respuesta :
Answer:
The answer is x = 1.28
Step-by-step explanation:
∵ 5(e^x) = 18
∴ e^x = 18/5 ⇒ insert ln in both sides
∴ ln(e^x) = ln(18/5)
∴ x · ln(e) = ln(18/5)
∵ ln (e) = 1
∴ x = ln(18/5)
∴ x = 1.280933 ≅ 1.28
Answer:
x = 1.28
Step-by-step explanation:
We have given an equation.
5.eˣ = 18
We have to find the value of x.
Dividing by 5 to both sides of given equation, we have
(5.eˣ) / 5 = 18 / 5
eˣ = 18 / 5
Taking logarithm to both sides of above equation, we have
ln(eˣ) = ln(18/5)
x(lne) = ln(18/5)
since, lne = 1
x.1 = ln(18/5)
x = ln(18/5)
x = 1.280933 ≅ 1.28 which is the answer.