Given that \(2^{x} = 0.125\), find the value of x.
Answer Details
We can write 0.125 as a fraction:
0.125 = 1/8
So, we have:
2^x = 1/8
To find the value of x, we need to determine what power of 2 gives us 1/8. We can rewrite 1/8 as a power of 2 by using the fact that:
1/8 = 2^(-3)
Therefore, we have:
2^x = 2^(-3)
For the above equation to be true, x must be equal to -3. Therefore, the answer is option (D) -3.