ln(5) + 2·ln(x) - 3·ln(z)

Use this rule of logarithms:

A·ln(B) = ln(BA)

to rewrite the 2nd and third terms:

                              ln(5) + ln(x2) - ln(z3)

Use this rule of logarithms:

ln(AB) = ln(A) + ln(B)

to rewrite the first two terms:

                                   ln(5x2) - ln(z3)

Use the rule of logarithms:

ln(A/B) = ln(A) - ln(B)

to rewrite this as

                                       ln(5x2/z3)

Edwin