Final answer:
The value of 'n' that makes the equation 2^n = 512 true is 9. By evaluating the powers of 2, it is clear that 2 raised to the power of 9 equals 512. Option C is correct.
Step-by-step explanation:
The student is asking which value of 'n' satisfies the equation 2^n = 512. To solve this, we need to find the power to which the number 2 must be raised to result in 512. We can do this by recalling our knowledge of powers of 2 or by using trial and error with the given options:
2^7 = 128
2^8 = 256
2^9 = 512
2^10 = 1024
It's clear that 2^9 is equal to 512, so the correct answer is c) n = 9.
To find the value of 'n' that makes the equation 2^n = 512 true, we need to determine which exponent will yield 512 when 2 is raised to that power.
To do this, we can write 512 as a power of 2:
512 = 2^9
Therefore, the value of 'n' that makes the equation true is n = 9.