Three Laws of Logarithms

I. Use the properties of logarithms to write the expression
as a sum,difference and/or constant multiple of logarithms.

1.	log37x	4.
2.	log3(7/x)	5.
3.	log3x7	6.

II. Use the properties of logarithms to write the expression

as the logarithm of a single quantity.

7.	logax + logay	11.	(1/3) loga4x
8.	logax - loga(y+1)	12.	log x - 2[log(x+2) + log(x-2)]
9.	3 logax + 2logay	13.	(1/2)[log(x+1) + 2 log(x-1)] + 2 log x
10.	logax + 2loga(y+1) - 3logaz	14.

III. Find exact values without using a calculator.