[Show All Solutions]
Simplify each of the following logarithms.
Here simplify means use Property 1 - 7 from the Logarithm Properties
section as often as you can. You will be
done when you can’t use any more of these properties.
Property 5 can be extended to products of more than two
In using property 6 make sure that the logarithm that you subtract is the
one that contains the denominator as its argument. Also, note that that I’ll be converting the
root to exponents in the first step since we’ll need that done for a later
Evaluate logs where possible as I
did in the first term.
The point to this problem is
mostly the correct use of property 7.
You can use Property 7 on the second term because the WHOLE term was raised
to the 3, but in the first logarithm, only the individual terms were squared
and not the term as a whole so the 2’s must stay where they are!