Exponential Logarithmic

Exponential Growth& decay

100

f(X)=1/2*5^x

b>1 (Growth)

200

f(x)=(4/7)^x+2

b<1 (decay)

300

f(x)=(5/9)^x

b>1 decay

400

f(x)=(5/4)^x

b>1 (growth)

500

f(x)=2*(4/7)^x

(decay) d<1

Evaluating Logs

100

Log₇ 49

7^x=49

x=2

200

log₄ 16

(2) 16⁰ 4

300

log₆ 1/216

3

400

Log₆ 36

2

500

log₇ 1/46

-2

Change Base

100

log₁₆ 64

Log 64/ log 16

200

log₂ 4

log4/ log2 

300

log₁₀ 294

Log 294/ log 10 

400

log₆ 1/36

Log 6 log36

500

log₄ 136

log 136/ log 4

Log Properties

100

log₃ 9=2

3²=9

200

log₆ 2=0

6⁰=2

300

log₈ 16=4

8⁴=16

400

4⁴=1/18

log₄ 1/18=4

500

4^-3=1/6

log₄ 1/6=-3