Another challenging logarithmic question

[hibachii]

Homework Statement

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

Homework Equations

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The Attempt at a Solution

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

 

[Mark44]

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 x^1/2. Use the properties of logs to write log x^1/2 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).

 

[hibachii]

i don't get what you mean. How do u do the question?

 

[Mark44]

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.

 

[Suk-Sci]

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]

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
$$log(a)+ log(b)= log(ab)$$

 

[Suk-Sci]

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

 

[Suk-Sci]

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

Thanx...
Suk-Sci