Question

I need the correct choice and the answer for the box

Answer 1

Given the exponential equation:

`16e^t=98`

A student solved it.

Let's describe and correct the error the student made in solving the exponential equation.

Let's solve the equation.

Apply the following steps:

Step 1.

Divide both sides by 16

`\begin{gathered} (16e^t)/(16)=(98)/(16) \\ \\ e^t=6.125 \end{gathered}`

Step 2.

Take the natural logarithm of both sides

`\begin{gathered} t\text{ ln\lparen e\rparen=ln\lparen6.125\rparen} \\ \\ \end{gathered}`

Where:

ln(e) = 1

Hence, we have:

`t=1.812`

The student did not convert to the logarithmic form correctly. The solution should be t = 1.812

ANSWER:

A. The student did not convert to the logarithmic form correctly. The solution should be

t = 1.812