Logs

Converting Natural and Common Logs

100

logx = 4

10⁴=x

200

ln x=y

e^y =x

300

e^c = d

ln d = c

400

10^2a+7=b

logb=2a+7

500

log(3x-2)=2

10²=3x-2

Converting Other Logs

100

log₃x=4

3⁴=x

200

4^x=5

log₄5=x

300

5^p=q

log₅q=p

400

log₅(3x-2)=2

5²=3x-2

500

log₆₉(x-2)=5

69⁵=x-2

Evaluating Logs

100

ln(∜e¹⁵)

4/15

200

ln(e√e)

3/2

300

log₃(3*∜3)

5/4

400

log₅(1/∛25)

-2/3

500

log(1/√1000)

-1.5

Calculator Problems (three decimal places)

100

ln100

4.605

200

log(875)

2.942

300

log₆(55)

2.237

400

log₈420

2.905

500

log₃(85)

4.044

All categories combined

100

10^x=5

log5=x

200

ln z =10

e¹⁰ = z

300

log(∛100)

2/3

400

log₂(√128)

7/2

500

ln(1/√e³⁰)

-15