If a, b, c are positive numbers, find the numerical value of \((\log_a b^2)(\log_b c^2)(\log_c a^2)\)
u can simplify the expression and u will find the answer.
the answer is 8 (I think)
I am busy right now so I will show you the steps later.
simplify | log(a, b^2) log(b, c^2) log(c, a^2)
(log(a^2) log(b^2) log(c^2))/(log(a) log(b) log(c))
2 * 2 * 2 [log(a)log(b)log(c) / log(a)log(b)log(c)]
All log(a,b,c) to the RHS cancel out.
2 * 2 * 2 = 8
