Question

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

Answer 1

x = 1.28

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.

Answer 2

The answer is x = 1.28

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