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

Jul 5, 2015

Answer:

log 2^4 –log 2^16 = -12 log 2

Explanation:

Property: $\log {x}^{r} = r \log x$

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