183k views
3 votes
Which of the following shows the correct work and solution to the exponential equation 2x-1=8

Which of the following shows the correct work and solution to the exponential equation-example-1

1 Answer

3 votes

The exponential equation is solved as follows;


\begin{gathered} 2^(x-1)=8 \\ 2^(x-1)=2^3 \\ Note\text{ that both sides of the equation has 2 as the base, therefore} \\ \text{If 2=2, then x-1=3} \\ 2^(x-1)=2^3 \\ x-1=3 \\ x=3+1 \\ x=4 \end{gathered}

The third option is the correct answer

User Alric
by
3.8k points