Logarithms
The base of the common log.
What is 10?
A rule used to determine the number of positive & negative roots of a polynomial.
Descartes Rule of Signs
The formula for Continuous Growth/Interest
A = P ert
The base of the natural log
What is e?
These are the steps to determining the number of positive & negative zeros of a polynomial.
Pos: Count the sign changes of the terms
Neg: Replace x with -x; simplify; count the sign changes
The formula for compound interest.
A = P (1 + (4/n))nt
Condense the logarithm:
6log5x + 24log5y
log5(y24x6)
Divide the polynomial by the binomial:
(2x4 +13x3+18x2-11x-21)/(x+4)
2x3+5x2-2x-3- (9/(x+4)
This is the value of Euler's Constant
2.718281....
Expand the logarithm
log3(a/b5)3
3log3a - 15log3b
Divide the polynomial by the binomial:
(5x5 -30x4+28x3-10x2-26x+1)/(x-5)
5x4-5x3+3x2+5x-1 - (4/(x-5))
Alishan invests $4,772 in a savings account with a fixed annual interest rate of 3.12% compounded continuously. What will the account balance be after 9 years?
$6,3109.03
Solve the equation:
log95x - log94 = 1
36/5
Divide the polynomial by the binomial:
5x5+9x4-17x3-3x+13 / (x+3)
5x4-6x3+x2-3x+6- (5/(x+3))
Shevon invests $5,269 in a savings account with a fixed annual interest rate of 7.25% compounded 3 times per year. What will the account balance be after 9 years?
$10,040.04