Question

Between what two consecutive integers must solution 2^x=7 lie?

Answer 1

2 and 3

Step-by-step explanation:

Given the equation:

`2^x=7`

Now, observe the following:

`\begin{gathered} 2^2=4 \\ 2^3=8 \\ 4<7<8 \\ \implies2^2<2^x<2^3 \end{gathered}`

Taking the indices:

[tex]2Therefore, the solution of 2^x=7 lies between the consecutive integers 2 and 3.