4^2x - 17(4^x) + 16 = 0
Find x.
Thanks in advance.
Mathematics Help
Started by: SpaceBar | Replies: 8 | Views: 642
Sep 18, 2009 2:31 PM #489024
Sep 18, 2009 4:28 PM #489037
Let Y=4^x
Y^2 - 17Y + 16 = 0
(Y-16) (Y-1) = 0
Y = 16 OR Y = 1
4^x = 16 OR 4^x = 1
You should be able to work it out easily at this point but if not:
log[SIZE="1"]4[/SIZE] 16 = x = 2
OR
log[SIZE="1"]4[/SIZE] 1 = x = 1 Edit: correction. log[SIZE="1"]4[/SIZE] 1 = 0
x = 2 OR 0
(unless of course you're working in graphical form and trying to find points of intersection in which case x = 2 AND 0)
Now gimme a hard one!
Y^2 - 17Y + 16 = 0
(Y-16) (Y-1) = 0
Y = 16 OR Y = 1
4^x = 16 OR 4^x = 1
You should be able to work it out easily at this point but if not:
log[SIZE="1"]4[/SIZE] 16 = x = 2
OR
log[SIZE="1"]4[/SIZE] 1 = x = 1 Edit: correction. log[SIZE="1"]4[/SIZE] 1 = 0
x = 2 OR 0
(unless of course you're working in graphical form and trying to find points of intersection in which case x = 2 AND 0)
Now gimme a hard one!
Sep 18, 2009 10:02 PM #489135
Log3^25 divided by Log3^5
Thanks man.
Thanks man.
Sep 19, 2009 8:49 AM #489251
Pretty sure that log3^25 / log3^5 = log3^20
Sep 19, 2009 12:24 PM #489287
I hope you haven't handed in that question yet. I just realised I made a simple arithmetic error at the end - log of 1 is 0, not 1. X=2 or 0.
Steyene looks right on the other one.
Steyene looks right on the other one.
Sep 19, 2009 2:12 PM #489308
oh my word u guys r good!
Sep 19, 2009 2:13 PM #489309
:Happy: lol:Smile: :Smile: :Smile:
Sep 19, 2009 4:20 PM #489348
xD so randum
Sep 19, 2009 7:04 PM #489396
1+1=11
My good deed for the day is done.
My good deed for the day is done.