Out On A Limb

Expand Logs

100

log₄ x/2

Log₄ x - log₄ 2

200

Log₂  16x^1/2 

1/2Log₂ 16x

300

Log₂ 7x³ /y 

Log₂ 7 + 3Log₂x - log₂ y

400

Log₆ xy²/ z²w³

Log₆ X + 2Log₆ Y - 2Log₆ Z - 3Log₆ W

500

Log₄ (ZX⁵*Y³)

Log₄ Z + 5Log₄ X + 3Log₄ Y

Condense Logs

100

log₁₁X + log₁₁Y

log₁₁(XY)

200

logx-log4

Log(x/4)

300

3log₂X+log₂y

log2(x3y)

400

2log₃ x - 1/3log₃ (y-2) + log₃ (x+2)

Log₃(x²(x+2)/(y-2)^1/3)

500

4[log x-(3log y + 1/2log z)]

log(x/y³z^1/2)⁴

Change of Base

100

log₄25

0.431

200

log₆9

1.23

300

log₄(0.6)=log₁₀(0.6)/log₁₀(4)

-0.368

400

3log₉(1/12)=3 x log₉(1/12)

-3.39

500

2log₃(1/52)=2 x log₃(1/52)

-7.19

GraphingLogs

100

y=4log_2/3(x+2)-3

What is the Asymptote of this graph?

x= -2

200

y= ln(-x+2)+3

What is the range of this graph?

All real numbers

300

y=log_0.5(x-2)+4

What are the transformations of this graph?

Right 2 

Up 4

400

y= -3log₅(x-4)+2

what is the asymptote of this graph?

X=4

500

y=log x+5

what is the asymptote?

x=0

SolvingLogs

100

log₆(1/36)=x

x= -2

200

log₁₂(x²-7)=log₁₂(x+5)

x=4

x=-3

300

log₇(x²-4)=log₇(-x+2)

x=-3

x=2

400

log_x27=3/2

x=9

500

log₆(x²-6x)=log₆(-8)

not possible