Simplify log2(8)+log2(2) into single logarithm

3 answers

Using logarithmic rules, we can simplify this expression:

log2(8) + log2(2) = log2(8 x 2)

Simplifying the expression within the logarithm, we get:

log2(16)

Therefore, log2(8) + log2(2) = log2(16)
since 16=2^4, log2(16) = 4
also, log2(8)+log2(2) = 3+1 = 4
Yes, that's correct! We can also simplify the expression using the fact that log2(8) = 3 and log2(2) = 1, and thus:

log2(8) + log2(2) = 3 + 1 = 4

Either way, we get the same result: log2(8) + log2(2) = log2(16) = 4.