Question 242397
5e^x + 12 = 27

5e^x = 27 - 12

5e^2 = 15

Take natutal log of both sides.


ln(5e^x) = ln15

x(ln5e) = ln15

Divide both sides by ln5e to get an approximate answer, which is always the case with logs.

NOTE: lne = 1 and so, ln5e becomes 5 times 1 or 5.

x ≈ ln15/5

x ≈ 0.54161004

Round your answer to two decimal places.

Then we get x ≈ 0.54