SOLUTION: Will donate. Please help solve two problems. 1.Use the properties of logarithms to write the following expression as a single logarithm: {{{2*log(x)+2*log(y)-4*log(z)}}} 2.Use

Here are the properties of logarithms we need. Notice that
the "A" and "B" properties are the same except that the
left and right sides are switched. We need the "B" properties
to write as a single logarithm, and the "A" properties to expand
a logarithm expression:

Property 1A: 

Property 1B: 

Property 2A: 

Property 2B: 

Property 3A: 

Property 3B: 

Property 4: 

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1.Use the properties of logarithms to write the following
  expression as a single logarithm:

  

Use Property 3B on each of the three terms:



Use Property 1B on the first two terms:



Use Property 2B on that



That is a single logarithm.

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2.Use the properties of logarithms to expand the expression as much as possible: 



Use Property 2:



Use Property 1 on both terms, but be
sure to enclose the 2nd in parentheses
since it is preceded by a minus sign:


Remove the parentheses:



Use Property 3 on the third and fourth terms:



Write  as 



Use Property 4 on the first term



That's as far as it will expand.

Edwin