y=a*b^x-h+k

B>1

a is positive 

Solve

log₄x+log₄[x(x-6)=2

y=a*b^x

o<b<1

a is positive 

5³=125

Convert to log form 

b^x*b^y=b^x+y

Put into log form 

log_{10 (unless defined before)}

Most commonly used as log₁₀
 

How do you solve

log₃30?

1

Unless the base is 0 

An awesome math band featuring Mr. Weingarden as the singer with his robotic microphone.

(I have 41 cards so don't mark me off! :x) 

Undefined

(No negatives allowed!) 

Growth or decay?

y=5(2)^x

x=b^y

Put into log format 

log₁₀

Or simply stated "log" 

Given two points, find a, b and write the equation of the line passing through both points

(0, -5) (-3, -135) 

a=-5

b=1/3

y=-5(1/3)^x

Growth or decay

y=5(27/3)^x

3^x=11

solve 

6⁴

Log form (place x in unknown) 

Growth or decay?

y=4(1/3)^x

3³

In log form