Question

Which value of 'n' makes the following equation true? 2^n = 512

a) n = 7
b) n = 8
c) n = 9
d) n = 10

Answer 1

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.