Evaluate log(104⋅8)

.(1 point)
Responses

log(104⋅8)=4+log8
logarithm left parenthesis 10 superscript 4 baseline times 8 right parenthesis equals 4 plus logarithm 8

log(104⋅8)=log(4⋅8)
logarithm left parenthesis 10 superscript 4 baseline times 8 right parenthesis equals logarithm left parenthesis 4 times 8 right parenthesis

log(104⋅8)=log(4+8)
logarithm left parenthesis 10 superscript 4 baseline times 8 right parenthesis equals logarithm left parenthesis 4 plus 8 right parenthesis

log(104⋅8)=log4+8

1 answer

The correct evaluation is:

log(104⋅8) = log(832) = log(2^5 * 13) = log(2^5) + log(13) = 5 + log(13) ≈ 5 + 1.11394 ≈ 6.11394.
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