Logarithmic Equations

Logs

100

log₂x=5

x=32

200

log₄x-log₄2=3

x=128

300

log₅(x-1)=2

x=26

Exponential

100

4ˣ=16

x=2

200

6ˣ=14

x=(log₆14)

x=1.473

300

18⁻⁸ˣ+6=75

x=(log₁₈69)

x=-.183

Condensing

100

log₉9-log₉5

log₉(9/5)

200

5log₄(3)+log₄(8)+4log₄(7)

log₄(3⁵*8*7⁴)

300

4log(7)+log(8)-2log(3)

log((7⁴*8)/3²)

Expanding

100

log₂(5/3)

log₂5-log₂3

200

log₅((9*6)/4)

log₅9+log₅6-log₅4

300

log₇(8²/3)

2log₇8-log₇3