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Solving Exponentials (Like Base)

100

5^2x-4=25

x=3

200

Daily Double!

64^x-12=(1/4)^x

x=9

300

25^7x-9x5=125^x-2

x=1

400

32^3x-1x(1/16)^x=64

x=1

500

4^3x+1x(1/64)^x-1=8^2x-3x(1/32)^x-1

x=12

Solving Logs

100

log₆(-2x)=log₆(5x+7)

x=-1

200

logx+log(3x-5)=log2

x=2

300

log₃x+log₃(x+1)=log₃12

x=3

400

log₃(x+1)=2

x=8

500

log₂(2x)-log₂9=3

x=36

Condensing and Expanding Logs

100

6log₄2-log₄8

3/2

200

5logx+7logy

Log(x⁵y⁷)

300

log₅(25x²y)

2+2log₅x+log₅y

400

log50+log4-log2

2

500

log₄(8x³y²)²

3 + 6log₄x + 4log₄y

Solving Exponentials Using Logs

100

3^x=18

x=2.6309

200

15^3v-5=87

v=2.2164

300

4^8n-2=84

n=0.6495

400

Daily Double!

8^6-4x+6=22

x=1.1667

500

-5(4)^6x+5=-30

x=0.2339

Evaluating Logs

100

log₃81

4

200

log₄(1/2)

-1/2

300

log₁₀₀10

1/2

400

log_x49=2

x=7

500

log_x9=1/2

x=81