Question 28469: I would appreciate your help with the following. I found one solution that came close, Q#4867 and I followed it fine, but what I have done with my problem and what I know the answer to be (in the back of textbook) doesn't jive.
Problem: Use logarithms properties to expand the the following expression:
ln (sq.root of x^3pq^5/e^7)
The answer is 3/2 lnx + lnp + 5lnq - 7.
Here is what I accomplished, but how does the 3/2 figure. Am I not applying a rule?
ln x^3pq^5-lne^7
lnx^3+lnp+lnq^5-lne^7 (cancel ln & e on next step)
3lnx+lnp+5lnq-7 (so, how should the answer start with 3/2?
Thanks for your help!
Answer by venugopalramana(3286)   (Show Source):
You can put this solution on YOUR website! I would appreciate your help with the following. I found one solution that came close, Q#4867 and I followed it fine, but what I have done with my problem and what I know the answer to be (in the back of textbook) doesn't jive.
Problem: Use logarithms properties to expand the the following expression:
LET Y=ln (sq.root of (x^3))*(pq^5/e^7)...PUT BRACKETS PROPERLY...
=LN{(X^3)^(1/2)}+LN(P)+LN(Q^5)-LN(E^7)...SINCE SQUARE ROOT MEANS POWER OF 0.5 OR 1/2
=(1/2)*3*LN(X)+LN(P)+5*LN(Q)-7*LN(E)
=(3/2)*LN(X)+LN(P)+5*LN(Q)-7....SINCE LN(E)=1
The answer is 3/2 lnx + lnp + 5lnq - 7.
Here is what I accomplished, but how does the 3/2 figure. Am I not applying a rule?
ln x^3pq^5-lne^7.......YOU FORGOT SQUARE ROOT OF{LN(X^3)...IT IS NOT SIMPLE LN(X^3)
lnx^3+lnp+lnq^5-lne^7 (cancel ln & e on next step)
3lnx+lnp+5lnq-7 (so, how should the answer start with 3/2?
Thanks for your help!REST ALL OK EXCEPT THE SQRT YOU MISSED
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