Escarcega Algebra 2 Honors Exponential/Logarithmic review

Involves the function b^x where base ,b, is a positive number other than 1.

a line that a graph approaches as you move away from the origin

y=a*b^x where b>1 and a>1

y=a(1+r)^t where a is the initial value, r is the rate as a decimal and t is the time in years.

y=a(1-r)^t where a is the initial value, r is the rate as a decimal and t is the time in years.

A=P(1+r/n)^nt. where P is the initial principal deposited in an account that pays interest at annual rate r(expressed as a decimal), compounded n times per year. the amount after t years.

Euler number has an approximate value of 2.718281828459

is given by the formula A = Pe^rt

Let b and y be positive numbers, b can't be 1. log base b y = x if and only if b^x=y

log base 10 x = logx

log base 3 of x = lnx

The graph of log base b(x-h)+k has the following characteristics. the line x = h is a vertical asymptote; the domain is x>h, and the range is all real numbers; if b>1, the graph moves up to the right. of 0>b>1, the the graph moves down to the right.