Logarithm Review

Evaluating Logarithms

100

log₁₂144

X=2

200

Log₃81

X=4

300

Log₂(1/32)

X=-5

400

Log₅5⁷

X=7

500

Log₉9^(2x+1)

X=-1

Solving Logarithms

100

Log₇X=2

X=49

200

Log_(1/8)X=-2

X=64

300

Log₉^(X+4)=Log₉^(2x-1)

X=5

400

Log_b12=1

b=12

500

Log_b(1/625)=-4

b=5

Solving exponentials with logs

100

3^x=9

X=2

200

3^x=62

X=3.76

300

9^x-4=6.28

X=4.84

400

4^2x=27

X=1.19

500

8^x-2=2^x-4

X=1

Solving base e equations

100

e^x=9

X=2.2

200

e^x=1.1

X=0.095

300

e^-x=31

X=-3.43

400

3e^x+1=4

X=0

500

4+e^x=19

X=2.71

Solving equations with natural logarithms

100

ln6x=2

X=1.23

200

ln4X=3

X=5.02

300

ln(-2X)=7

X=-548.32

400

ln(X-6)=1

X=8.72

500

ln(2X)+ ln(4)=8

X=372.6