Review of Logarithms

Expanding

100

Expand the following

Log xy

Log x + Log y

200

Expand the following Log 2x⁴

Log 2 + 4 Log x

300

Expand the following Log x²/a⁴

2 Log x + 4 Log a

400

Expand the following Log (2x)^a

a Log 2 + a Log x

500

Expand the following Log 2x²/xy⁴

Log 2 + 2 Log x - Log x - 4 Log y

Condensing

100

Condense the following Log 4- Log x

Log 4/x

200

Condense the following 2 Log X + Log Y

Log x²y

300

Condense the following 3 Log X=x + 2 Log a - Log b

Log x³a²/b

400

Condense the following 2 Log (ab)

Log (ab)²

500

Condense the following 2 Log (xy)+ 10 Log (abc)

Log (xy)²(abc)¹⁰

Write in Exp Form

100

Write in exponential form Log ₂ 8=3

2⁸=3

200

Write in exponential form Log _a 1/7 = 10

a¹⁰=1/7

300

Write in exponential form Log _x+1 (0) =y

(x+1)^y=0

400

Write in exponential form Log 1000=3

10³=1000

500

Write in exponential form Log_x-7 x²-14x+49=2

(x-7)²=x²-14x+49

Write in Log Form

100

Write in logarithmic form 2⁵=32

Log₂32=5

200

Write in logarithmic form x^-2=1/16

Log_x1/16= -2

300

Write in logarithmic form x^y=1000

Log_x1000=y

400

Write in logarithmic form 10^x+1=c

Log c = x+1

500

Write in logarithmic form x+1²=x²+2x+1

Log _(x+1)x²+2x+1 = 2

Solving Logarithms

100

Find the value for x that makes this equation true

Log ₂16=x

x=4

200

Solve for x in the following equation Log₄4=x 

x=1

300

Solve for x in the following Log₂64=x

x=6

400

Solve for x in the following Log100=x

x=2

500

Solve for x in the following Log₂1/4=x

x=-2