1. the first step to solve the equation $\displaystyle log_5(x+2)=2$ is to take logs with base 2 of both sides

2. the first step in solving the equation $\displaystyle 2^x-2^{x+2}=8$ is divide all terms by 2

3. the first error in the solved equation

$\displaystyle \begin{array}{l}log(x+5)=2\\

log(x+5)=log2\\

x+5=2\\

x=7\end{array}$

is taking the log of 2

4. the next step in the partially solved equation

$\displaystyle \begin{array}{l}

30(1.02)^n=600\\

(1.02)^n=20\end{array}$

is bring n infront of the 1.02