Logarithms
Expand:
log10 (x2y6)
2log10 (x) + 6log10 (y)
67=11n+1
n=6
x2+5x+6=0
(x+2)(x+3)=0
x=-2 x=-3
6 P 3
120
8 C 6
28
Write in exponential form:
log83x=2
82=3x
3x-10=14
x=8
x2+4x+3
(x+1)(x+3)
x=1 x=3
8 P 6
20160
12 C 8
495
Write in logarithmic form:
5x=142
log5142=x
5-5x=0
x=1
Solve x2 + 3x – 4 = 0
x = –4, x = 1
12 P 9
79833600
20 C 12
125970
log4(x2-2x)=log4(5x-12)
x=3 x=4
n+3>7
n>4
Solve 2x2 – 4x – 3 = 0
x = –0.58, x = 2.58
A password consists of four different letters of the alphabet. How many different possible passwords are there?
358,800
How many ways are there to create a three topping pizza from a list of seven possible toppings?
35
log3(25-x2)=2
x=-4 x=4
2n<-3
n<(-3/2) or n<-1.5
Solve x2 + 2x = 1
x = –2.41, x = 0.41
A private school has to send 2 juniors out of 50 and 2 teachers out of 20 to an award banquet. How many possibilities are there of who to send?
232,750
A coach wants to name two players for each game. There are twelve players on the team. How many ways can the coach choose the players to be captains for the first game?
66