Question 1201530
<pre>
It may be that your instructions were to write this as a single log.
Always be sure to list the exact instructions given:

Usually the instruction for this sort of log problem will be to expand as
far as possible, or to write as a single log. "To simplify" is a bit
ambiguous in log problems of this type.

log(a)-1/2log(4a)
I get this far:
log(a) - log(4a)^1/2
log[a/(4a)^1/2]

Then you can continue this way:

{{{log(((a^"")/(4^"1/2"a^"1/2"))))}}}

{{{log(((a^1)/(2a^"1/2"))))}}}

{{{log(((a^"2/2")/(2a^"1/2"))))}}}

Subtract exponents of a:

{{{log(((a^"1/2")/(2^""))))}}}

{{{log((sqrt(a)/2))}}}

I notice now that this is identical with Theo's solution, which
wasn't there before.

Edwin</pre>