Question 282
<pre>Expand as much as possible log(10,000x).<b>
The laws of logs are
(1) log(uv) = log(u) + log(v)
(2) log(u/v) = log(u) - log(v)
(3) log(u<sup>v</sup>) = v·log(v)
(4) log(10) = 1
log(10000x)              equals
log(10<sup>4</sup>x)                because 10000 = 10<sup>4</sup>, which equals 
log(10<sup>4</sup>) + 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