Vocabulary
Converting from Exponential to Logarithmic Form
Converting from Logarithmic to Exponential Form
Change of Base Formula
100

Logarithms

The inverse function to exponentiation

100

35=243

log3243=5

100

Log99=1

91=9

100

log48

1.50

200

Common Logarithm 

Logarithm with a base of 10

200

104

log1010,000=4

200

Log2512=9

29=215

200

Log13194

2.05

300

Exponential Equation

bx=a

300

x4=5

logx5=4

300

Log82=1/3

81/3=2

300

Log22.1

1.07

400

Logarithmic Form

logba=x

400

6-1=1/6

log61/6=-1

400

Log91/81=-2

9-2=1/81

400

Log3.55

0.55

500

Change of Base Formula

logbx= logax/logab

500

251/2=5

log255=1/2

500

Log1/28=-3

(1/2)-3=8

500
ln14.1

2.65