ALGEBRA II UNIT 8 LESSON 5

The number, y so that by=x is called the ____ of x.

logarithm

The greater the base, the closer the graph is to the ___ when x > 1.

x-axis

Solve x2-6x+13=0 , using the quadratic formula

x=3+-2i

Solve the system of equations. {2x-3y=-13 {x+5y=13

(-2, 3)

If logb(p)=q then logb ______=-q.

1/p

Simplify. (3xy2)12

3^(1/2)x^(1/2)y

The base of the logarithm function cannot be equal to______ and must be ________.

The base of the logarithm function cannot be equal to 1 and must be positive.

If logb(43)=0.2877 then logb34 =______.

-0.2877

If logb8=2.079 then logb18 =_________.

-2.079

Complete the table x----log_3x 1 3 9 1/3 1/9

0 1 2 -1 -2

Label the curves with the correct function names. f(x)=l og2x, g(x)= log3x, and h(x)= log_8x

dashed- B-- f(x) dotted- A-- g(x) solid- C-- h(x)