Log Unit Mini Project

Condensing logarithms

100

log a + log b

log (ab)

200

log a - log b

log (a/b)

300

3 log x

log(x³)

400

log(xy²)

log x+2 log y 

500

log(x³ sqrt y / z² )

3 log x + 1/2 log y -2 log z

Evaluating logarithms

100

log₂=8

3

200

log₅=1

0

300

log₁₀ 0.01

-2

400

log₄ 32

5/2

500

ln(e^3.2)

3.2

Converting

100

2³=8

log₂8=3

200

log₁₀ 1000=3

10³=1000

300

e^x=7

x=ln(7)

400

log₅ x=4

3^-2=1/9

500

3^-2=1/9

log₃ 1/9=-2

logarithmic equations

100

log₃ x=2

x=9

200

10^x=500

x=log(500) =2.699

300

ln(x)=5

x=e⁵

400

2e^x=10

x=ln(5)

500

log(x-1)+log(x+1)=1

x=sqrt 11

Logs e and ln

100

e^x=12

x=ln(12)=2.485

200

e^2x=7

x=1/2(7)=0.972

300

3e^x=15

x=ln(5)=1.609

400

e^x+1=9

x=ln(9)-1

500

e^2x-5e^x+6=0

e^x=2 or e^x=3