# Thread: [SOLVED] HW2-Qst 9-Logarithm question

1. ## [SOLVED] HW2-Qst 9-Logarithm question

Please check if this is right:

If log x = a, and log y = b, what expression containing both a and b is equal to:

$log \left( \frac{10x^3}{\sqrt{y^3}} \right)
$

Using the logarithm properties, here is what I did:

$log \left( \frac{10x^3}{\sqrt{y^3}} \right) =
$

$log\ 10x^3 - log\ y^\frac {3}{2} =$

$log\ 10 + 10g x^3 - log\ y^\frac {3}{2} =$

$1 + 3\ log\ x - \frac {3}{2}\ log\ y\ =$

$1 + 3\ (a) - 1.5\ (b) =$

$3a-1.5b+1$

Did I get it?

2. you did fine.

3. Thank the lord, there might still be hope for me!!!