Condensing Logarithms!

Converting logarithms

100

log₃9=2

3²=9

200

log₂8=3

2³=8

300

3³=81

log₃81=3

400

log₉81

2

500

log₃₆6

1/2

Condensing Logarithms

100

log3-log8

log (3/8)

200

4log3-4log8

log(3/8)⁴

300

6log₃u+6log₃v

log₃(uv)⁶

400

log₄u-6log₄v

log₄(u/v⁶)

500

20log₆u+5log₆v

log₆(u²⁰v⁵)

Condensing Logarithms (Part 2)

100

1/3log6

log6^1/3

200

log2+log11+log7

log(154)

300

log7-2log12

log(7/144)

400

log₃u-5log₃v

log₃(u/v⁵)

500

4log₃u-20log₃v

log₃(u⁴/v²⁰)

Expanding Logarithms

100

log(6*11)

log6+log11

200

log(6/11)⁵

5log6-5log11

300

log(2⁴/5)

4log2-log5

400

log(x/y⁶)

logx-6logy

500

log(a*b)²

2loga+2logb

Expanding Logarithms (Part 2)

100

log(5*3)

log5+log3

200

log(3*2³)

log3+3log2

300

log(6/5)⁶

6log6-6log5

400

log(u⁴/y)

4logu-logy

500

log(x*y*z²)

logx+logy+2logz