SOLUTION: Expand as much as possible log(10,000x).

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Question 282: Expand as much as possible log(10,000x).
Answer by AnlytcPhil(1116) About Me  (Show Source):
You can put this solution on YOUR website!
Expand as much as possible log(10,000x).

The laws of logs are

(1) log(uv) = log(u) + log(v)

(2) log(u/v) = log(u) - log(v)

(3) log(uv) = v·log(v)

(4) log(10) = 1

log(10000x)              equals

log(104x)                because 10000 = 104, which equals 

log(104) + log(x)        by (1) above, which equals

4·log(10) + log(x)       by (3) above, which equals

4·1 + log(x)             by (4) above, which equals

4 + log(x)

Edwin