Question

Solve e 3t = 900 for t. (Round to three decimal places as needed.)

Answer 1

t = 2.267

Step-by-step explanation

The questio to be solved is

e³ᵗ = 900

`e^(3t)=900`

To solve this, we take the natural logarithms of both sides

In e³ᵗ = In 900

3t (In e) = In 900

Note that In e = 1 and In 900 = 6.8024

3t (1) = 6.8024

3t = 6.8024

Divide both sides by 3

(3t/3) = (6.8024/3)

t = 2.267 to 3 decimal places.

Hope this Helps!!!