SOLUTION: PLEASE SHOW ME HOW TO SOLVE THIS PROBLEM, I HAVE AN EXAM TOMORROW AND I NEED TO KNOW HOW TO DO THESE BASIC PROBLEMS. ln√e, please solve without a calculator! AND LOG√2(

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Question 444093: PLEASE SHOW ME HOW TO SOLVE THIS PROBLEM, I HAVE AN EXAM TOMORROW AND I NEED TO KNOW HOW TO DO THESE BASIC PROBLEMS. ln√e, please solve without a calculator! AND LOG√2(4)a tutor tried to help me with the last one but im still very lost.
thank you!

Found 2 solutions by chriswen, ankor@dixie-net.com:
Answer by chriswen(106)   (Show Source): You can put this solution on YOUR website!
ln √ e
=
=
=
since ln e = 1.
So ln root e =1/2
Log [√ 2 (4)] right?
=log √ 2 +log 4
=log 2^(1/2)+log 4
=log 2^(1/2)+log 2^2
=log [2^(1/2)*2^2]
=log 2^(2.5)
You can use a calculator for that right? Since it calculates to around .49 . Hope that helps.

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!

you know that you can write the square root as an exponent

Write the log equiv of exponents:

you know the ln of e = 1
=
:
log, Assume this means the log base of 4?
:
remember the log of the number is equal to exponent of the base
using common logs as an example, log,base10(1000) = 10^3, log is 3
:
In this problem, what exponent of is 4
2 * 2 = 4, therefore
*** = 4
or we can say = 4
therefore
log = 4?

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