unit 2

use the properties to CONDENSE the following expressions

100

log

log9(7m^2)

200

3in a + 6 in b

in(a^3,b^6)

300

in x + in y + in z

in(xyz)

Use the properties to Expand the following expressions

100

log2(9x)

log2^9+logb^x

200

log5x(x^4,y)

4log5x^4+log^y

300

in(ab)^3

in a^3 + in b^3

Rewriting Exponentials and Logarithms

100

Base is always the ___

Bottom

200

Logs are always equal (=) to the ____

exphonet 

300

Common Base - a logarithm has a base of __

10

400

Natural Log- a logarithm has a base of ___

e

Determine whether each set of functions are inverses

100

y=6^(x) - 4 and y = log6 (4x)

No

200

h(x) = 1/2 in(x-1) and k(x) = e^(x/2) + 1 

No

300

f(x) = 10^(x/5)  and g (x) = logx^(5)

yes

400

y=e^(x+1) and y = in (x) - 1 

yes

inverse functions

100

Graphs are ___ over the line ___

reflected,y=x

200

Ordered pairs are ___

Opposites