Use a table to solve. Round to the nearest hundredth.
2^8x = 93
(1 point)
Responses
A. 0.82
B. 30.72
C. 3.14
D. 52.31
To solve for x, we can create a table with different values of x and see which one results in 2^8x equaling approximately 93.
| x | 2^8x |
|---------|---------|
| 0.01 | 1.011 |
| 0.1 | 1.717 |
| 0.5 | 11.315 |
| 1 | 256 |
| 2 | 65536 |
| 3 | 16777216|
| 4 | 4294967296|
| 5 | 1099511627776|
| 6 | 281474976710656|
| 7 | 72057594037927936|
| 8 | 18446744073709551616|
From the table, we can see that 2^8(3) is the closest value to 93. Therefore, x is approximately equal to 3.
Answer:
C. 3.14