Unit 7 Part 1

Exponential to Log

100

3⁴ = 81

log₃ 81=4

200

e³ = 20.086

ln 20.086 = 3

300

5⁴ = 625

log₅ 625 = 4

400

2³ = 8

log₂ 8 =3

500

3^-3 = 1/27

log₃1/27=-3

Log to Exponential

100

log₅125=3

5³  = 125

200

ln 148.413= 5

e⁵ = 148.413

300

log₆ 216 = 3

6³ = 216

400

logx= 6

10⁶ =x

500

log₆36=2

6² = 36

Simplify/Evaluate

100

3 lne

3

200

e^{ln 5} = ?

5

300

8^x =4

x= 2/3

400

10^{log 3}

3

500

ln e⁷

7

Find the Inverse

100

y=7^x

log₇x=y

200

y=2^x + 4

log₂(x-4)=y

300

y=log₃x

3^x =y

400

log₃ (x+3) + 5=y

y= 3^x-5 - 3

500

y= 11^x

y= log₁₁x

Expanding/ Condensing

100

ln 2/7

ln 2- ln 7

200

3log4

log 4³ = 64

300

log₈x⁵

5log₈x

400

log₃ 4 - log₃ 9

log₃      4 / 9

500

log₂ 7x

log₂ 7 + log₂ x