Simplify this Logarithm

[KarlieWarliee]

I am starting Calculus this week and we are having a review test tomorrow. This is a question on the handout and Ive tried moving it around but I cant seem to simplify it really.

I have to simplify it down to an expression with only one Log and state any restrictions...

(log₈x²)(log_x8)2

Where do I start?

Thanks in advance!

Karlie Place

 

[Deleted member 4993]

I am starting Calculus this week and we are having a review test tomorrow. This is a question on the handout and Ive tried moving it around but I cant seem to simplify it really.

I have to simplify it down to an expression with only one Log and state any restrictions...

(log₈x²)(log_x8)<sup>2

Thanks in advance!

Karlie Place</sup>

Assume

\(\displaystyle \displaystyle{Log_8x^2 \ = \ a \ }\)

\(\displaystyle \displaystyle{8^a \ = \ x^2}\)

What are your thoughts?

Please share your work with us ...even if you know it is wrong

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/th...Before-Posting

 

[KarlieWarliee]

Assume

\(\displaystyle \displaystyle{Log_8x^2 \ = \ a \ }\)

\(\displaystyle \displaystyle{8^a \ = \ x^2}\)

What are your thoughts?

Please share your work with us ...even if you know it is wrong

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/th...Before-Posting

First I was thinking of converting it but its not equal to anything
And I was also maybe thinking change of base but that didn't help haha
I need a push in the right direction

I just need help solving it...

 

[pka]

I am starting Calculus this week and we are having a review test tomorrow. This is a question on the handout and Ive tried moving it around but I cant seem to simplify it really.
I have to simplify it down to an expression with only one Log and state any restrictions...
(log₈x²)(log_x8)2

Rewrite as \(\displaystyle \Large{\left(\frac{2\log(x)}{3\log(2)}\right)\left(\frac{3\log(2)}{\log(x)}\right)^2}\)