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

1 Answer

Jul 5, 2015

#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#

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