exponentials (1 Viewer)

[Arithela]

how do you solve for t:

14000e^0.09t > 20000e^0.03t

 

[copperearth27]

<SUP>is this a past of a question or a question on its own?</SUP>
<SUP>cause usually if this is part of the applications of calculus question then they would usually have given you enough information to solve it for t.</SUP>
<SUP></SUP>
<SUP>if not then you need to change the > to an = and solve it like a normal equation and then at the end change it back and test for values of t like a normal inequalities question</SUP>

 

[Arithela]

this is part of a question but you dont need any other information to solve it

since t is on both sides wouldnt they cancel out and hence we wont be able to find t??

 

[tacogym27101990]

how do you solve for t:

14000e^0.09t > 20000e^0.03t

14000/20000>e^0.03t/e^0.09t
e^0.06t>10/7
0.06t>ln(10/7)
t>50ln(10/7)/3

 

[Arithela]

thanks