The exponential equation 3^x= 12 does not have an integer solution. Use an over/under table to find an estimate of the solution to two decimal places. (1 point)
To find an estimate of the solution to two decimal places, we can create an over/under table by plugging in different values of x into the equation 3^x = 12.
```
x 3^x Result
---------------------
1 3 Under
2 9 Under
3 27 Over
```
Since 3 raised to the power of 2 is under 12 and 3 raised to the power of 3 is over 12, we can estimate that the solution lies between 2 and 3. To find a more precise estimate, we can try plugging in a value between 2 and 3:
```
x 3^x Result
---------------------
2.5 15.59 Over
```
Since 3 raised to the power of 2.5 is over 12, we can estimate the solution to be slightly lower than 2.5. So, our estimate to two decimal places for the solution of the equation 3^x = 12 is approximately x = 2.42.