# Another challenging logarithmic question

## Homework Statement

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

-

## The Attempt at a Solution

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

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Mark44
Mentor

## Homework Statement

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

-

## 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).

i dont get what you mean. How do u do the question?

Mark44
Mentor
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.

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

HallsofIvy
Homework Helper
Do you mean
$$log(\sqrt{x+ 1}+ 9log(x)$$
or
$$log(\sqrt{x})+ 1+ 9log(x)$$

I think Mark44 was interpreting this as the latter. The former can be combined by using the laws of logarithms
$$blog(a)= log(a^b)$$
and
$$log(a)+ log(b)= log(ab)$$

Did i do anything wrong i my last commment.....cause even i am a beginier

I GOT IT!!!! even i said the same thing....

Thanx....
Suk-Sci