Question

solve each equation some solutions will be expressed using log notation be prepared to explain the reason

Answer 1

Step-by-step explanation

Number 1

`\begin{gathered} 10^x=10000 \\ 10^x=10^4 \\ The\text{ bases cancels out} \\ x=4 \end{gathered}`

Answer: x=4

Number 2

`\begin{gathered} 5*10^x=500 \\ Divide\text{ both sides by 5} \\ 10^x=(500)/(5) \\ 10^x=100 \\ 10^x=10^2 \\ The\text{ bases cancels out} \\ x=2 \end{gathered}`

Answer: x =2

Number 3

`\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}`

Answer: x=1

Number 4

`\begin{gathered} 10^(2x)=10000 \\ 10^(2x)=10^4 \\ 2x=4 \\ x=(4)/(2) \\ x=2 \end{gathered}`

Answer: 2