Worksheet Worksheet 4
1.
Check the presentation for errors. If you find one, circle it and describe the mistake in words.
\begin{equation*}
\begin{aligned}
6 \exp(2) \amp = 10 \\
x \amp = \frac{10}{\exp(2)} \amp \eqnspacer \amp \text{Divide both sides by $\exp(2)$} \\
x \amp = \frac{5}{\exp(1)} \amp \amp \text{Reduce}
\end{aligned}
\end{equation*}
2.
Solve the equation \(ax + b = c\) for the variable using a complete presentation.
3.
Check the presentation for errors. If you find one, circle it and describe the mistake in words.
\begin{equation*}
\begin{aligned}
x \log(5) \amp = \log(7) \\
x \amp = \frac{\log(7)}{\log(5)} \amp \eqnspacer \amp \text{Divide both sides by $\log(5)$} \\
x \amp = \frac{7}{5} \amp \amp \text{Cancel out the $\log$}
\end{aligned}
\end{equation*}
4.
Solve the equation \(2 \log(x) = \log(x) + 5\) for Do it once using a substitution for then do it without that substitution. Use a complete presentation both times.