SOLUTION: Expand the logarithm:
http://i.imgur.com/iF44jl0.png
Thank you
Algebra.Com
Question 914472: Expand the logarithm:
http://i.imgur.com/iF44jl0.png
Thank you
Found 2 solutions by josgarithmetic, jim_thompson5910:
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
I finally tried this ON PAPER, and it was a difficult task with many opportunities for errors to lead to both or either confusion and wrong answers. I will NOT try to show all the steps by typing text.
Try working from the inside and go outward; and then to continue, you have some split exponents to deal with from level to level; so again start from inside and go outward again.
So far, not yet finished, I have this:
log((x^(5/2)y^(3/4)z^(3/8)))
Which becomes rendered as:
Hopefully that appears correctly; at least you can refer to the pure text form. You should have no further trouble continuing the necessary steps to finish.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
)
^{1/2})^{1/2})^{1/2} \right))
^{1/2})^{1/2} \right))
 + \log\left((y^3(z^3)^{1/2})^{1/2} \right)\right))
 + \frac{1}{2}\log\left((y^3(z^3)^{1/2})^{1/2} \right))
 + \frac{1}{2}*\frac{1}{2}\log\left(y^3(z^3)^{1/2} \right))
 + \frac{1}{4}\log\left(y^3(z^3)^{1/2} \right))
 + \frac{1}{4}\left(\log\left(y^3\right) + \log\left((z^3)^{1/2} \right)\right))
 + \frac{1}{4}\log\left(y^3\right) + \frac{1}{4}\log\left((z^3)^{1/2} \right))
 + \frac{1}{4}\log\left(y^3\right) + \frac{1}{4}*\frac{1}{2}\log\left(z^3 \right))
 + \frac{1}{4}\log\left(y^3\right) + \frac{1}{8}\log\left(z^3 \right))
 + 3*\frac{1}{4}\log\left(y\right) + 3*\frac{1}{8}\log\left(z \right))
 + \frac{3}{4}\log\left(y\right) + \frac{3}{8}\log\left(z \right))
=================================================================
So,  = \frac{5}{2}\log\left( x\right) + \frac{3}{4}\log\left(y\right) + \frac{3}{8}\log\left(z \right))
where 
RELATED QUESTIONS
Select All the correct answers.
Anabelle recorded her expenses for the month of... (answered by MathLover1)
What is the value of x?
image: i.imgur.com/N1Qqt60.png (answered by CubeyThePenguin)
Construct a line chart for the data:
The data is available at this image link:... (answered by CubeyThePenguin)
I'm trying to write an equation for this graph.
Thank you for any help... (answered by josgarithmetic)
Please expand the logarithm:
http://i.imgur.com/jXCAUXR.png... (answered by jim_thompson5910)
Please explain how I would find the trig function/equation for the graphs below... (answered by Alan3354)
What am I doing wrong here?
Functions being detained from the graph of f... (answered by josgarithmetic)
Use the law of logs to expand the expression:... (answered by Alan3354)
In triangle ABC, AX bisects angle BAC. Find the value of x.
BX = 4x-5
XC = 2x
AC =... (answered by CubeyThePenguin)