Properties of Logarithms Expanding

log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4

log(xy²)

• logx+2logy

• logx+logy²

• logx-2logy

• logx+logy+log2

• logx+logy

• xlogy

• log(x-y)

• logx-logy

• logm-log3-logn

• 3logm+logn

• 3logm-logn

• 3log(m-n)

ln(4xy)

• ln4+lnx+lny

• 4lnxy

• 4lnx+lny

• 4ln(x+y)

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

• log8+logx-logy-logz

• log8+logx-logy+logz

• log(8x)-log(yz)

• 8logx-ylogz

log(x⁷)

• log(7x)

• log7+logx

• xlog7

• 7logx

• log9+log4

• log(9-4)

• log9-log4

• 4log9