Question

How do you use the properties of logarithms to rewrite and simplify the logarithmic expression of `log2^4-log2^16`?

Answer 1

`log 2^4 –log 2^16 = -12 log 2`

Explanation:

Property: `log x^r = rlog x`

So

`log 2^4 –log 2^16 = 4log 2 – 16log 2`

`log 2^4 –log 2^16 = (4 - 16)log 2`

`log 2^4 –log 2^16 = -12log 2`