SOLUTION: Find the exact value of e^LOGe^2 16 The answer is 4, but I am unsure as to why. If possible, please show multiple methods (with step by step breakdown). Here is what I've gat

Question 1129970: Find the exact value of e^LOGe^2 16
The answer is 4, but I am unsure as to why.
If possible, please show multiple methods (with step by step breakdown). Here is what I've gathered so far:
Method 1:
1. e^LOGe^2 2^4
2. e^(4/2)LOGe 2 ( I don't understand where the 4 divided by 2 comes into play, and which property dictates it )
3. e^2LOGe 2
4. e^LOGe 4 (Where did the 4 come from? Did both of the 2's get multiplied?)
5. =4
Method 2:
1. e^LOGe^2 16
2. e^(1/2)LN 16 (Where did the 1/2 come from?)
3. sqrt(e^LN 16) (Why is the entire expression inside the square root?)
4. sqrt(16) (Why did the "e^LN" portion inside the square root disappear?)
5. =4
Is it also possible to solve this problem by using the base change method?
Thanks in advance.
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
not sure how you expect to get 4 as an answer from the equation the way you have it written. I think this is what you are saying:
(e^LOG(e^2))*16 If this is the case, then solving from the inside out:
(e^0.8686)*16
2.3836*16 = 38.1376

RELATED QUESTIONS
I am attemping to solve this rational expression problem. The problem consist of adding... (answered by Nate)

Hello, this is a logarithmic problem. I need a step by step explanation of: 16^log4(8).... (answered by greenestamps,MathTherapy)

I am kind of unsure of my response for this equation: It asks me to rewrite the... (answered by solver91311,DrBeeee)

Given: cos (-105) Find the exact value of the function without the use of a calculator. (answered by ikleyn)

Please help me solve for A and B in this exponential decay model y= ae^-bx. I have the... (answered by jsmallt9)

Here is my question: [w/{w^2+8w+16}] + [4/{w^2+12w+32}]. I need to add these two... (answered by jsmallt9)

4. (25 pts) Write the logarithmic expression as a single logarithm and, if possible,... (answered by stanbon)

I have two questions. One of them I came up with an answer, but am not sure if it is... (answered by Alan3354)

Can I please get help solving these equations to find the value of x and can I please see (answered by greenestamps)