Question

2 log2 8 + log2 25\\16 -  log2 25

Answer 1

2*log2_2^3 + log2_ (25/16 :25)=2*3 +log2_(1/16)=6-4=2

Answer 2

Using log rules, we can simplify the expression as follows:

2 log2 8 + log2 25\\16 -  log2 25
= 2(log2 (2^3)) + log2 (5^2\\(2^4)) - log2 (5^2)
= 6 log2 2 + log2 5^2 - log2 5^2 - 4 log2 2
= 6(1) + 2 log2 5 - 4(1)
= 2 log2 5 + 2

Therefore, 2 log2 8 + log2 25\\16 -  log2 25 simplifies to 2 log2 5 + 2.