SOLUTION: Please help me! Ok, I don't know how to do this using mathematical notation, so I'm going to try to describe my problem in English. Use natural logarithms to solve the equa

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Please help me! Ok, I don't know how to do this using mathematical notation, so I'm going to try to describe my problem in English. Use natural logarithms to solve the equa      Log On


   

Question 421261: Please help me!
Ok, I don't know how to do this using mathematical notation, so I'm going to try to describe my problem in English.
Use natural logarithms to solve the equation.
e -0.413t=5 (The -0.413t is up higher than e)
The solution set is
(Simplify your answer. Type an integer or a decimal rounded to the nearest thousandth.)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The problem is
+e%5E%28-.413t%29+=+5+
It would be good if this equation was in the form
+e%5Ea+=+e%5Eb+
Then a must equal b
To accomplish this, I'll say
+5+=+e%5Ex+
+x+=+ln%285%29+
Now I can use my calculator
x+=+1.6094
so,
e%5E%28-.413t%29+=+e%5E1.6094
+-.413t+=+1.6094
+t+=+-3.897+ answer
check answer:
+e%5E%28-.413t%29+=+5+
+e%5E%28-.413%2A%28-3.897%29%29+=+5+
+e%5E1.609+=+5
+5.00+=+5