NATURAL+LOGARITHM+(YANET)

EXPANDING: - Use the log rules to take the log apart into lots of seperate logs, each with only one thing inside. That is, they've given you one log with a complicated argument and then you need to convert this into many logs, each with a simple argument.

NOTES: log a (x)= y and a^y= x           lnx= y -> e^y= x            e~2.7182818

EXAMPLE #1: Ln xy^3z/w = (ln+lny^3+lnz)-lnw

EXAMPLE #2: Log3(xy)= log3(x)+log3(y)

EXAMPLE #3: Log y/x^2w = logy-2logx-logw

EXAMPLE #4: Log(3xyz^2)^3 =3log (3xyz^2) =3(log3+logx+logy+2logz) =3 log3+3logx+3logy+6logz