SOLUTION: Please check my answers Evaluate the expression: log(base 2) 72 - log(base 2) 9 My answer: log(base 2)(72/9) ----------- ----------- ----------- ----------- -----------

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Question 914997: Please check my answers
Evaluate the expression:
log(base 2) 72 - log(base 2) 9
My answer: log(base 2)(72/9)
------------------------------------------------------------
Evaluate the expression:
log(1/√1000)
My answer: log(1)-log(10√10)
------------------------------------------------------------
Evaluate the expression:
log(base 2) 225 − log(base 2) 20 − log(base 2) 45
log(base 2)(225/20-45) or rather log(base 2)(225/25) ? I don't think this is right, not sure.
------------------------------------------------------------
Use the Laws of Logarithms to expand the expression:
ln(z)
This one I have no idea how to solve.
Please help. Thanks!
Found 4 solutions by Fombitz, ewatrrr, MathLover1, MathTherapy:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
is not simplified.
72 is divisible by 9.
The answer is also a factor of 2.
.
.
.
Can be further simplified.

If you take the log of both sides,

.
.
.
No, it's not.


.
.
What is ??
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Evaluate
= 3
Note : 2^3 = 8
.........

Log(1) - 1/2log(1000) = 0 - (1/2)3 = -3/2
Note: 1 = 10^0 and 1000 = 10^3
.......
= -2
Note: 2^(-2) = 1/4
.....
Use the Laws of Logarithms to expand the expression:
ln(z) = x, then e^x = z
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!



= ...in base we will have
=
=
=
=
=

=
----------------------------------------



=
=
=
=
=
=
if you calculate all above, final result will be:

---------------------------------------------------------------------


=
=
=
=
=
=
=
=
= ...
=
=
=
=










Answer by MathTherapy(10549)   (Show Source): You can put this solution on YOUR website!
Please check my answers

Evaluate the expression:
log(base 2) 72 - log(base 2) 9
My answer: log(base 2)(72/9)

Answer, simplified:
------------------------------------------------------------
Evaluate the expression:
log(1/√1000)
My answer: log(1)-log(10√10)
Needs to be completed, as follows:










Since log 1 = 0, and log 10 = 1, then:

 becomes: 

______________, or

------------------------------------------------------------
Evaluate the expression:
log(base 2) 225 − log(base 2) 20 − log(base 2) 45
log(base 2)(225/20-45) or rather log(base 2)(225/25) ? I don't think this is right, not sure.

.
This simplifies to:
------------------------------------------------------------
Use the Laws of Logarithms to expand the expression:
ln(z)

Seems to be incomplete.
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