math log and exponents

write from exponent to log

9³=729

• 9=log₃ 729

• 729=log₉ 3

• 3= log₉ 729

rewrite in log form

b= a^-r

• r= log _a -b

• -r= log _a b

• -b= log _a r

solve if possible

Log₃ 81= x

• x= 9

• x=4

• x=27

solve if possible

Log₂ 32= y

• y=3

• y=4

• y=5

change to exponential form

Log₆ 36= 2

• 2⁶ = 36

• 6²= 36

• 36²= 6

• 36⁶= 2

change to logarithim

5₃= 125

• Log5 125= 3

• Log₃ 125= 5

• Log₅ 3= 125

Condense

2log₂ x + 10log₂ y

• Log₂ x² y¹⁰

• Log₂x²+log₂y¹⁰

• Log₂x²/y¹⁰

expand

log x/Y⁵

• log x + 5 log y

• log x-5 log y

• 5 log x + 5 log y

condense into single log

log x +log y + 3 log z

• logxyZ³

• log(xy/Z³

• log x+ log y + logZ³

Log₅ 25 = ?

• 2

• 5

• 125

• 10