Question

Write the equation as an exponential equationlog_9(2x – 7) = 2x – 3

Answer 1

`\begin{gathered} \text{ We have to reexpress the equation as an exponential equation; } \\ \log _9(2x-7)=2x-3 \\ 9^(\log _9(2x-7))=9^(2x-3) \\ 2x-7=9^(2x-3) \end{gathered}`
`\begin{gathered} \text{remember that } \\ a^(\log _a(b))=b \\ \text{`