Question

Solve the equation using inverse functions.

e^2d = 5


Enter your answer rounded to the nearest tenth.

Answer 1

To solve the equation e^2d = 5 using inverse functions, take the natural logarithm (ln) of both sides.

Step-by-step explanation:

To solve the equation e^2d = 5 using inverse functions, we need to take the natural logarithm (ln) of both sides of the equation.

Applying the natural logarithm to both sides gives us ln(e^2d) = ln(5).

Using the property that ln e^x = x, we simplify to 2d = ln(5).

Dividing both sides by 2, we find that d = ln(5) / 2.

Approximating the value of ln(5)/2 to the nearest tenth, we get d ≈ 0.88.

Answer 2

The answer to your question is d = 0.8

Step-by-step explanation:

Data

`e^(2d)` = 5

Process

1.- Get the Natural logarithm in both sides

In(
`e^(2d) )` = In 5

2.- Cancel In and e

2d = In 5

3.- Get the In 5

2d = 1.609

4.- Solve for d

d = 1.609 / 2

d = 0.8047

5.- Round to the nearest tenth

d = 0.8