Question

Solve for r to two decimal places.

8=e^4r
r = ______.
(Do not round until the final answer. Then round to the nearest hundredth as needed.)

Answer 1

r = 0.52 to the nearest hundredth

Explanation:

Here, given that ;

e^4r = 8

We want to find the value of r

To do this, we will need to find the ln of both sides

Mathematically;

ln(e^4r) = ln 8

4r ln e = ln 8

Mathematically; ln e = 1

Thus;

4r = ln 8

4r = 2.07944154168

r = 2.07944154168/4

r = 0.51986038542

To the nearest hundredth, r = 0.52