Solve for x: 2000=5000e^4x

x = -0.23

Step-by-step explanation:

2000=5000e^4x

=> e^4x = 2000/5000 = 2/5

taking the natural logarithn on LHS and RHS

ln e^4x = ln2/5

=> 4x lne = ln2/5

we know ln e = 1, also ln a/b = lna - ln b

ln 2 = 0.693, ln 5 = 1.609

4x = ln2 - ln5

4x = 0.693 - 1.609

x = -0.916/4 = -0.229

Thus, x = -0.23 rounded to two decimal place.

hey! so 1 (25) out of 4 (100) is 25 so your answer is 25%. it's like quarters!