Properties of Logs

log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4

log(xy²)

• logx+2logy

• logx+logy²

• logx-2logy

• logx+logy+log2

• logm-log3-logn

• 3logm+logn

• 3logm-logn

• 3log(m-n)

log(3x)²

• 2log(3+x)

• 2log3+logx

• log3+2logx

• 2(log3+logx)

• ln2+2lnx+lny+4lnz

• ln2+2lnx+lny-4lnz

• 2ln(2xy)-4lnz

• 2ln2x+lny-4lnz

• ln(wvu⁵)
• ln(u + v + w⁵)
• ln(uvw⁵)
• ln(uvw)⁵

Condense: log16 + log2 - log8

• log4
• log8
• log10
• log24

• Product property

• Quotient property
  

• Power property

• Change of Base Property

Use the properties of logarithms to retwrite

• A

• B

• C

• D

• log 10

• log 21

• log 3/7

• log 3/log 7