Given the exponential equation:
[tex]16e^t=98[/tex]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
[tex]\begin{gathered} \frac{16e^t}{16}=\frac{98}{16} \\ \\ e^t=6.125 \end{gathered}[/tex]Step 2.
Take the natural logarithm of both sides
[tex]\begin{gathered} t\text{ ln\lparen e\rparen=ln\lparen6.125\rparen} \\ \\ \end{gathered}[/tex]Where:
ln(e) = 1
Hence, we have:
[tex]t=1.812[/tex]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