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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.