SOLUTION: I have three questions. I don't know how to do them. PLEASE HELP!!! 1. e^3x>=21 2. log6 6^9 3. 1n e^-3x I have to whow my work on this worksheet. PLEASE HELP!!!

Question 167438: I have three questions. I don't know how to do them. PLEASE HELP!!!
1. e^3x>=21
2. log6 6^9
3. 1n e^-3x
I have to whow my work on this worksheet.
PLEASE HELP!!!
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
1. e^3x>=21
I think you mean:
e^(3x)>=21
.
Take LOGe of both sides to get:
3x >= LOGe(21)
x >= LOGe(21)/3
x >= 1.015
.
2. log6 6^9
If you are simply looking for log base 6 of 6^9
then the answer is
9
.
This is similar to saying:
LOG(10^9)
that's log base 10 of (10^9)
.
3. 1n e^-3x
Again:
This is similar to saying:
LOG(10^9)
that's log base 10 of (10^9)
.
In this case, the
ln of (e^(-3x))
is
-3x

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