Transformations
Log Formulas
Solving
Expansions and Combinations
Solutions and Extraneous Solutions
100

what does the c do in to the log:


logb(x-c)

Shift it right. 

100

How to we write a logarithm 

logbx=a

100

5x=25

2

100

log3(5x)

log3(5)+log3(x)

100

Solve the equation:

log5(5x+9) = log5(6x)

x=9

200

What is the transformation of the log:

logb(x)+38

Shifts up by 38 units

200

How to write an exponential logarithm

ba=x

200

log4(37)

2.6

200

log5(45/9)

log5(45)-log5(9)

200

Solve the equation:

3log7(4)=log7(4a-8)

a=18

300

Whats the transformation of the log:

3 logb(x)

Vertical stretch 

300

Whats the quotient formula 

logbx-logby=logb(x/y)

300

log10(30/5)

0.77 or 0.8 are both good.
300

3log10(4)+log10(5)

log10(320)

300

Solve the equation 

log2(x-4)=6

x= 68

400

What is the transformation:

1/4logb(x+12)

Vertical compression by a factor of 1/4 and shift left by 12 units

400

What is the product rule

logb(x)+logb(y)=logb(xy)

400

log3(9)+log3(16)

log3(144)=4.5

400

4log4(3)-5log4(6)

log4(1/96)

400
Solve the equation:

2logx-log4=2

x= 20

500

Write an equation with the following transformations 


Vertical shrink of 1/2

Shift 7 units left 

Shift up 14 units 

1/2 logb(x+7)+14

500

What is the change of base formula 

logb(a)=log10(a)/log10(b)

500

5log4(13)+log4(8)

10.75, extra points if you can work it out in the board. 

500

log221

log2(3)+log2(7)

500

Solve the equation:

log6(x+9)+log6(x)=2

x=3, -12 is an extraneous solution.


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