Answer: The solution for w, expressed as a natural logarithm, is:
w = ln(88/3) / 5
Step-by-step explanation: Starting with the given equation:
-3e^(5w) = -88
Dividing both sides by -3:
e^(5w) = 88/3
Taking the natural logarithm of both sides:
ln(e^(5w)) = ln(88/3)
Using the property that ln(e^x) = x:
5w = ln(88/3)
Finally, solving for w by dividing both sides by 5:
w = (1/5)ln(88/3)
So the solution for w, expressed as a natural logarithm, is:
w = ln(88/3) / 5