What is the solution to the equation below? Runner answer to two decimal places 5•e^x=18

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

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.