Simplify Logs

• can't be condensed

• Product Property

• Inverse Property

• Change of Base Rule

• Quotient Property

ln(4xy)

• ln4+lnx+lny

• 4lnxy

• 4lnx+lny

• 4ln(x+y)

log(x⁷)

• log(7x)

• log7+logx

• xlog7

• 7logx

Condense: log16 + log2 - log8

• log4

• log8

• log10

• log24

• log8+logx-logy-logz

• log8+logx-logy+logz

• log(8x)-log(yz)

• 8logx-ylogz

Use multiple log properties to write as a sum or difference of two logs: log(4x³) 

• log 4 + 3log x

• 3log 4 + 3log x

• 3log 4 + log x

• log 12 + log x

• ln2+2lnx+lny+4lnz

• ln2+2lnx+lny-4lnz

• 2ln(2xy)-4lnz

• 2ln2x+lny-4lnz