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Answer:
4·log(16) = 16·log(2) ≈ 4.81648
Step-by-step explanation:
The rules of logarithms are ...
log(a^b) = b·log(a)
Here, we have ...
log(16^4) = 4·log(16)
However, we recognize that 16 = 2^4, so this becomes ...
log(16^4) = 4·(log(2^4)) = 4·4·log(2) = 16·log(2)
The base-10 logarithm of 2 is about 0.30103, so this is ...
log(16^4) ≈ 16·0.30103 = 4.81648
Choose the form of the answer you need:
log(16^4) = 4·log(16) = 16·log(2) ≈ 4.81648
