If you have more than one character in an exponent, set off the whole exponent in braces.
[tex]e^{-t}[/tex] gives instead of .
Put into Cartesian form with x>0
I solved for t:
Found the Cartesian:
This is how I got the final answer of 15/x and I'd like to know if, mathematically, I'm allowed to do it this way(I might leave out some steps, but I think you will understand. Let me know if you want me to add those steps):
Multiply both sides by
Change to the form:
Divide both sides by
(yx)/5 = 3
Multiply both sides by 5, then divide both sides by x.
Final answer 15/x
The correct answer is 15/x
Sorry about not using MATH tags all the way through. I'm under time constraints and am not very familiar/savvy with MATH tags.
I don't understand what you did there. Just posting that without an explanation doesn't help. Was the way I solved for the final answer wrong? That's what I'm asking. Are you showing a simpler and quicker way to do it? Those are welcome too, but I need to understand what you did to get there.
Your solution is actually partially correct - you don't actually "divide by " because it is not a number.
Also, denotes the logarithm to the base of , so writing is redundant.
Generally, if you have then you can raise e to both sides of the equation to get and since , you get that .
Note that you could've actually finished in the third line using logarithm \ exponent rules: