Algebra 2 Super Fun Project

Basic Log Problems

100

log₂16=?

4

200

log₄16=?

2

300

log₅625=?

4

400

log_1/636=?

-2

500

log₉(1/531441)=?

-6

Solving Logarithmic Equations

100

log₅(4x+11)=?

x=7/2

200

log₂(x+5)-log₂(2x-1)=5

x=37/63

300

log₈x+log₈(x+6)=log₈(5x+12)

x=3

400

log₆x+log₆(x-9)=2

x=12

500

log₄(3x-2)-log₄(4x+1)=2

No solution

Solving Logarithmic Equations

100

log₃(x²-6x)=3

x=-3 and x=9

200

log(x-2)-log(2x-3)=log2

x=4/3

300

log₄(x²-2x)=log₄(5x-12)

x=3 and x=4

400

log(6x)-log(4-x)=log(3)

x=4/3

500

ln(6x-5)=3

x=4.180923

Solving Logarithmic Equations

100

log(x)=2-log(x-21)

x=25

200

log₄(-x)+log₄(6-x)=2

x=-2

300

ln(x)+ln(x+3)=ln(20-5x)

x=2

400

log₃(25-x²)=2

x=-4 and 4

500

4+3log(2x)=16

x=5000

Solving Logarithmic Equations

100

log₆(2x-4)+log₆(4)=log₆(40)

x=7

200

log₂(x+1)-log₂(2-x)=3

x=5/3

300

log₃x+log₃(x+3)=log₃(2x+6)

x=2 and -3

400

log₂(x+1)-log₂(x-4)=3

x=33/7

500

ln(x-1)=1+ln(3x+2)

x=-0.89961