Logarithms
Evaluate log9729
3
(−18x2−6x+12) / (3x3+9x−1)
What are the degrees of the quotient and the remainder?
Quotient: 0
Remainder: 2
If I divide a polynomial by (x-1),
When I do synthetic division, what number should I put next to the line?
1
Select all polynomials that are divisible by (x−1).
a) A(x) = 3x3+2x2−x
b) B(x) = 5x3−4x2−x
c) C(x) = 2x3−3x2+2x−1
d) D(x) = x3+2x2+3x+2
b , c
What is:
a) 018
b) 135
a) 0
b) 1
Rewrite the following in the form log(c).
log(3)+log(5)
log(15)
(6x9 - 5x8 - 12x3 + 60) / x6
What are the quotient and the remainder?
Quotient: 6x3 - 5x2
Remainder: - 12x3 + 60
(3x3+x2−4x+12) / (x+2)
3x2 - 5x + 6
Find the value of c so that (x−2) is a factor of the polynomial p(x)
p(x) = x3−4x2+3x+c
c = 2
calculate:
a) 12340
b) 1357687493020
a) 1
b) 1
Change the following Logarithm into the base of 10
log8(500)
log(500) / log(8)
(x3+5x2−9x+30) / (x+7)
x2 - 2 x + 5 - 5/(x + 7)
(2x3−11x2+25) / (x - 5)
2x2 - x - 5
The polynomial p(x)=3x3−20x2+37x−20 has a known factor of (x - 4)
Rewrite p(x) as a product of factors.
p(x) = (x - 4) (x - 1) (3x - 5)
Rewrite the expression in the form an.
a) a0*a6
b) a5*a12
a) a6
b) a17
Evaluate
log3(b)⋅logb(27)
3
(x3+2x2+x) / (x2+1)
What are the quotient and the remainder?
Quotient: x + 2
Remainder: -2
(3x3+x−11) / (x+1)
3x2-3x+4 - 15/(x + 1)
Factorize 5x3−9x2−6x+8
(x - 2) (x + 1) (5x - 4)
a) (102⋅75)5 = ?
b) (x4⋅y4)3 = ?
a) 1010 * 725
b) x12 * y12
Find t
−3⋅102t=−28
Express this as a logarithm base 10.
log(28/3) / 2
(2x4+2x+2x2+7x3+3x−4) / (x2+3x−1)
2x2 + x + 1 + (3 (x - 1))/(x2 + 3x - 1)
(16x3 - 2 + 14x - 12x2) ÷ (2x + 1)
8x2 -10x +12 - 14/(2x + 1)
Factorize x3+3x2−4
(x - 1)(x + 2)2
Simplify fully:
(2x4*6x2) / 3x3
4x3