Just wanna go over it

Question

2700/32+6*3^-0.4t =83

the / sign cover not just the 32 but all the way to before the equal sign.

The * is a multiply

find the solution of the equation

I got 5.52153491 but wanna go over it to make sure i got the right answer.

Answer 1

Hi Sufyan,

I got the same answer, solving for t. Steps below:

2700/(32+6*3^-0.4t) = 83

32+6*3^-0.4t = 2700/83

6*3^-0.4t = 2700/83 - 32

3^-0.4t = (2700/83 - 32)/6

-0.4t = log₃(2700/83 - 32)/6)

t = -log₃(2700/83 - 32)/6)/0.4

t ≈ 5.521535.

Feel free to contact me if you ever need more help!