Question 34875
Write the logarithmic expression as a single logarithm and, if possible, simplify.Show some work.
	log 2 + log (x^2 – 4) – log (5x – 10)
   =log[2(x^2-4)/(5x-10)]
Explanation:
When you add logs you get the log of the product: log2 + log(x^2-4)=
log (2(x^2-4)
When you subtract logs you get the log of the quotient.
log A - log B = log(A/B)

3. (25 pts)  Write the given logarithm in terms of sums and/or differences of log x, log y, and log z. Show some work.
	log(x^2/y sqrt z)
    = logx^2-log(ysqrtz)
    = 2logx -[logy +logsqrtz]
    = 2logx -logy -(1/2)logz
Explanation:  Same as for the 1st problem with this additional rule:
log A^n = nlog A.  That's why logx^2 becomes 2logx and log sqrtz becomes
(1/2)log z
Cheers,
Stan H.