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

23.225%

Step-by-step explanation:

Runtime in June (x1) = 7:45 = (7 * 60) + 45 = 465

Runtime in September (x2) = 5:57 = (5*60)+57 = 357

Percentage change in Runtime :

[|x2 - x1|÷ x1] * 100%

[|357 - 465| ÷ 357] * 100%

108 / 465 * 100%

0.23225 * 100%

= 23.225%