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

$\begin{gathered} \frac{16e^t}{16}=\frac{98}{16} \\ \\ e^t=6.125 \end{gathered}$

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