Explanation
Number 1
[tex]\begin{gathered} 10^x=10000 \\ 10^x=10^4 \\ The\text{ bases cancels out} \\ x=4 \end{gathered}[/tex]
Answer: x=4
Number 2
[tex]\begin{gathered} 5\times10^x=500 \\ Divide\text{ both sides by 5} \\ 10^x=\frac{500}{5} \\ 10^x=100 \\ 10^x=10^2 \\ The\text{ bases cancels out} \\ x=2 \end{gathered}[/tex]
Answer: x =2
Number 3
[tex]\begin{gathered} 10^{x+3}=10000 \\ 10^{x+3}=10^4 \\ The\text{ bases cancels out} \\ x+3=4 \\ x=4-3 \\ x=1 \end{gathered}[/tex]
Answer: x=1
Number 4
[tex]\begin{gathered} 10^{2x}=10000 \\ 10^{2x}=10^4 \\ 2x=4 \\ x=\frac{4}{2} \\ x=2 \end{gathered}[/tex]
Answer: 2
