Question

write the following expressions as log N and find their value
I.) log 16 base 2 - log 2 base 2

Answer 1

➡HERE IS YOUR ANSWER⬇

♧Rule♧

log a - log b = log (a/b)

log (a^n) = n log a

log a (base a) = 1

♧Solution♧

$log_{2}(16) - log_{2}(2) \\ \\ = log_{2}( \frac{16}{2} ) \\ \\ = log_{2}(8) \\ \\ = log_{2}( {2}^{3} ) \\ \\ = 3 log_{2}(2) \\ \\ = 3$

⬆HOPE THIS HELPS YOU⬅

Answer 2

Answer:

3

Step-by-step explanation:

log16 base 2-log 2 base 2=log 16 by 2 base 2

=log 8 base 2

=log2^3base2

=3log2 base 2

=3