Write 23 LogX43 LogY145 Log Z as a Single LogSolution23logx4

Write 2/3 Log(X+4)-3 Log(Y-1)-4/5 Log Z as a Single Log

Solution

(2/3)log(x+4) -3log(y-1) -(4/5)log(z)

by properties of logaritham m log(a)=log(a^m)

=log(x+4)^2/3 -log(y-1)³ -log(z)^4/5

=log(x+4)^2/3 -(log(y-1)³ +log(z)^4/5)

by properties of logaritham log a +log b =log ab

=log(x+4)^2/3 -(log(y-1)³(z)^4/5)

by properties of logaritham log a -log b =log a/b

=log(x+4)^2/3/((y-1)³(z)^4/5)