SOLUTION: I have a logarithmic expression to condense Equation: 3 log (x+1) + 5 log(9x+1)- log(x+1) I know it can be written as log (x+1)^3 + log (9x+1)^5 - log (x+1) but i'm lost

Algebra.Com
Question 901583: I have a logarithmic expression to condense
Equation: 3 log (x+1) + 5 log(9x+1)- log(x+1)
I know it can be written as
log (x+1)^3 + log (9x+1)^5 - log (x+1)
but i'm lost after this how can i condense this further. help
Found 2 solutions by solver91311, stanbon:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


The sum of the logs is the log of the product. The difference of the logs is the log of the quotient.

So






John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
I have a logarithmic expression to condense
Equation: 3 log (x+1) + 5 log(9x+1)- log(x+1)
I know it can be written as
log (x+1)^3 + log (9x+1)^5 - log (x+1)
---------
log[(x+1)^3*(9x+1)^5/(x+1)]
---------
= log[(x+1)^2*(9x+1)^5]
===========
Cheers,
Stan H.
------------
RELATED QUESTIONS

condense the expression log 3+ 1/2 log x-log... (answered by chiefman,Ploy)
Use properties of logarithms to condense the logarithmic expression. 
Write the... (answered by ilana,AnlytcPhil)

Condense each to a single logarithmic expression:

1/3[2log(x+5) - logx - log(x^2 - 4)]
 (answered by ikleyn)

Solve the logarithmic equation log x + log (x-3)=... (answered by Edwin McCravy)

How do i condense:
3 log x + 1/2 log y - log 8 - 2 log 3z

Thank... (answered by lwsshak3,MathLover1)

Use the properties of logarithms to condense each logarithmic expression. Write the... (answered by stanbon)

Condense the following into a single logarithmic expression:

3log(x +1) + 5log(9x +1)... (answered by LinnW)

Condense the following into a detailed single logarithmic expression:

3log(x +1) +... (answered by MathLover1)

Use properties of logarithms to condense the logarithmic expression. Write the expression  (answered by josmiceli)