Logs and natural logs
log x = 1
What is X?
X is 10
(x+3)(x-2) = 0
What is x equal to?
f(x) is a rational function. f(x) = 3/(x+2)
what is the vertical asymptote?
Sin(45)
√2/2
is 2n-1 an arithmetic or geometric sequence?
geometric
what is the difference between Log and Ln?
Log is by base 10, while Ln is by base "e"
Find the root factors
(x+2)2 = 0
or
(x+2)(x+2) = 0
f(x) = x(x+3)/(x-6)
what is the Horizontal Asymptote
There is no Horizontal Asymptote
Cos(60)
0.5
find the 7th term of the arithmetic sequence 5,8,11...
23
Log4 16 = x
What is X?
X = 2
x(x+3)(x+6) = 0
simplify this expression
x3+9x2+18x = 0
f(x) = (x-2)/x(x-2)
what is the hole of f(x)?
hole: x=2
Sin(45)2
1/2
find the missing term of the geometric sequence -1/4, 1/16, ___, 1/256
-1/64
log22 + log28 = x
Simplify this equation and find X
Log216 = X
X = 4
function f(x) touches the x axis exactly twice at x coordinates x = 3 and x = -9. What is the expression of f(x)?
f(x) = (x-3)(x+9)
or
f(x) = x2+6x-27
f(x) =3x3+6x2+18x+3
g(x) =2x3+12x2+24x+16
h(x) = f(x)/g(x)
what is the Horizontal and Vertical Asymptote?
Horizontal:y = 1.5 or y = 3/2
Vertical: x=-2
Cos(210)
-√3/2
find the 5th term of the geometric sequence 3,9,27...
243
log5125 = log2(2+x)+1
what is x?
X is 2
log5125 is 3
log2(2+(2)) is log2(4) or 2
2+1 is 3
f(x)=x2+4
what are the real zeros of this function?
there are no real zeros
f(x) = x3+2x2+3x+6
g(x) = x3+9x2+27x+27
h(x) = f(x)/g(x)
State the holes, zeroes and Horizontal and Vertical asymptotes
Holes: None
Zero: x = -2
Vertical asymptote: x = -3
Horizontal asymptote: y=1
Tan(60)
√3
An is a geometric sequence.
An = 2*3n-1
What is the 7th term of f(x)
A7 = 2*3(7)-1
A7 = 2*36
A7 = 2*729
A7= 1458