Question

Which of these expressions is equivalent to log (128)?

OA. log (8) - log (12)
OB. 8 log (12)
OC. log (8) + log (12)
OD. log (8) log (12)

Answer 1

We know that 128 can be written as a power of 2, i.e., 128 = 2^7. Therefore, we can write:

log (128) = log (2^7)

Using the rule of logarithms that states log (a^b) = b log (a), we can simplify this expression as:

log (2^7) = 7 log (2)

So, the equivalent expression for log (128) is 7 log (2).

Therefore, the answer is not listed among the given options.