SOLUTION: express as a single log: 1/2loga x + 4loga y -1/3loga z
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Question 107094: express as a single log: 1/2loga x + 4loga y -1/3loga z
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let's look at what we know about logarithms:
,
Using these facts, let's operate on your orignial expression:
Beginning with the first term, remember that , so
Similarly, the other two terms become:
, and
( is the cube root of z, but I can't render that on this system)
Putting the terms together, using the second rule from above:
The answer would be much neater if I could replace the fractional power on z with a cube root radical, but it is still correct in this form.
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