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Another challenging logarithmic question

  • Thread starter hibachii
  • Start date
  • #1
17
0

Homework Statement


Combine into one log
log√x + 1 + ( 9log x )

Homework Equations


-


The Attempt at a Solution


I tried converting log√x + 1 to log(x+1)^(1/2)
 

Answers and Replies

  • #2
33,171
4,858

Homework Statement


Combine into one log
log√x + 1 + ( 9log x )

Homework Equations


-


The Attempt at a Solution


I tried converting log√x + 1 to log(x+1)^(1/2)
No, you can't do that, for a lot of reasons.

Write √x as x1/2. Use the properties of logs to write log x1/2 in a different way.

Use the properties of logs to write 9logx in a different form.

Assuming that log here means log10, 1 = log10(10).
 
  • #3
17
0
i dont get what you mean. How do u do the question?
 
  • #4
33,171
4,858
The policy of this forum is that we don't do homework problems - you do them. I've given you some starting points, and now it's up to you. Open your book to where they define the properties of logarithms.
 
  • #5
44
0
Hi hibacii.....
You can use the property
nlogx=log(x)^n
and
Logx+logy+logz=Log(xyz)
and also
1=log10

I hope this helps you...

Thanx
Suk-Sci
 
  • #6
HallsofIvy
Science Advisor
Homework Helper
41,794
924
Do you mean
[tex]log(\sqrt{x+ 1}+ 9log(x)[/tex]
or
[tex]log(\sqrt{x})+ 1+ 9log(x)[/tex]

I think Mark44 was interpreting this as the latter. The former can be combined by using the laws of logarithms
[tex]blog(a)= log(a^b)[/tex]
and
[tex]log(a)+ log(b)= log(ab)[/tex]
 
  • #7
44
0
Did i do anything wrong i my last commment.....cause even i am a beginier
 
  • #8
44
0
I GOT IT!!!! even i said the same thing....

Thanx....
Suk-Sci
 

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