# Tutor.com Exponential and Logarithmic Functions Session

##### Jan. 26, 2013

Session Transcript - Math - Algebra II, 12/17/2012 5:38PM - Tutor.comSession Date: 12/17/2012 5:38PM
Length: 27.8 minute(s)
Subject: Math - Algebra II

System Message
[00:00:00] *** Please note: All sessions are recorded for quality control. ***

Guest (Customer)
[00:00:00] .

Bill P (Tutor)
[00:00:19] Welcome to Tutor.com ! Let's get started.

Guest (Customer)
[00:00:25] okay

Bill P (Tutor)
[00:00:41] so we're simplifying this expression?

Guest (Customer)
[00:00:51] yes

Bill P (Tutor)
[00:00:57] Ok
[00:01:27] please clarify for me: is the x part of the expression under the square root symbol or outside of it?

Guest (Customer)
[00:02:28] its inside the square root its 40x to the 7
[00:02:37] and 32x to the 3rd

Bill P (Tutor)
[00:03:11] ok, so like this.....?

Guest (Customer)
[00:03:42] yes

Bill P (Tutor)
[00:03:58] ok
[00:04:24] so we can re-write as a fraction under a square root first, like this

Guest (Customer)
[00:05:21] i understand i tried the problem already and i did that part

Bill P (Tutor)
[00:05:47] good, so we can simplify the fraction first, then take the square root
[00:05:53] does that make sense?

Guest (Customer)
[00:06:12] does it come out 5/4 ?

Bill P (Tutor)
[00:06:30] yes, 40/32 = 5/4, but
[00:06:43] what about x^7 / x^3 ?
[00:06:56] can you simplify that?

Guest (Customer)
[00:06:59] you take out pairs of 2
[00:07:24] so x^3 comes out of 40x
[00:07:41] and x come out of 32 x^3
[00:07:47] right?

Bill P (Tutor)

Guest (Customer)
[00:08:28] x^4

Bill P (Tutor)
[00:08:35] great!
[00:08:47] so the simplified fraction becomes....

Guest (Customer)
[00:09:12] ok

Bill P (Tutor)
[00:09:30] now let's take square root of numerator and denominator
[00:10:07] the bottom is easy to simplify

Guest (Customer)
[00:10:07] 5 and 2?

Bill P (Tutor)
[00:10:38] close, we still have an X in the expression
[00:11:21] how about now? can you finish it off?

Guest (Customer)
[00:12:38] not sure about the 2?

Bill P (Tutor)
[00:13:03] that is the denominator, it just stays on the bottom

Guest (Customer)
[00:13:42] ok thanks

Bill P (Tutor)
[00:13:58] any questions about what we went over?

Guest (Customer)
[00:14:24] could you give me another equation similar?

Bill P (Tutor)
[00:14:57] sure, let me think of a good one and I'll watch as you try to simplify

Guest (Customer)
[00:15:04] ok

Bill P (Tutor)
[00:16:52] alright, try this one! =)

Guest (Customer)
[00:17:08] ok
[00:17:12] !
[00:21:36] is that correct?

Bill P (Tutor)
[00:22:06] at this step here...
[00:22:23] you can cancel the x, 1 on top 1 on bottom

Guest (Customer)
[00:22:59] oh

Bill P (Tutor)
[00:23:03] did you see what I just did, with the cancelling?

Guest (Customer)
[00:23:08] yes

Bill P (Tutor)
[00:23:22] ok, so what you have left is...
[00:23:43] so now find the sqrt of 4

Guest (Customer)
[00:23:47] 2

Bill P (Tutor)
[00:24:00] right, so the final answer is...

Guest (Customer)
[00:24:24] never mind

Bill P (Tutor)
[00:24:55] well, do you understand how we arrived at the answer 2x?

Guest (Customer)
[00:25:28] 4 divides into 2 times 2 so 2 comes out of the radical?

Bill P (Tutor)
[00:25:47] right sqrt(4) = 2
[00:25:57] and sqrt(x^2) = x

Guest (Customer)
[00:26:11] right

Bill P (Tutor)

Guest (Customer)
[00:27:00] i dont think so

Bill P (Tutor)
[00:27:31] Ok, well have a great night and would you do me a favor and fill out the survey?

Guest (Customer)
[00:27:42] sure

Bill P (Tutor)
[00:27:47] thanks!