# Thread: [SOLVED] lost on logs?

1. ## [SOLVED] lost on logs?

okay i have a bunch of problems, & i know I should know this but I can't remember what to do. I am very lost, so please help

If and , evaluate the following in terms of x and y:

(a)
(b)
(c) (d)

(c) is my major concern if only wanting to focus on one. but helping on all of them would be so helpful

2. Try making a prime factorization for the first two, and see if that helps any.

3. Originally Posted by lsnyder
okay i have a bunch of problems, & i know I should know this but I can't remember what to do. I am very lost, so please help

If and , evaluate the following in terms of x and y:
The properties of logs might be useful here, that 216 seems to be a familiar number.. let's factor him and see what he really is.

216 = 2 * 108 = 2 * 2 * 54 = 2 * 2 * 2 * 27 = 2*2*2*3*9 = 2*2*2*3*3*3

So, I can rewrite my equation as Logb of 2*2*2*3*3*3. Use the property of logs to write this as:

logb 2 + logb 2 + logb 2 + logb 3 + logb 3 + logb 3

These can then be replaced by the equations you gave at the top as:

x + x + x + y + y + y

And finally simplified to

3x + 3y

And if your teacher has gone insane from teaching logs and demands all things be factored:

3(x + y)

4. here are the 4 answers incase anyone cares

(a) 3x+3y
(b) 4x+3y
(c) 3x-2y (d) 2y/3x