i want the answer or method for solving this thing!
logp 3 243 whats the value?
I'm guessing you mean that log3(243) = p? If so, then we can solve it this way:
By saying that log3(243) = p, what you are in effect saying is that 3p = 243. Replace p with a succession of integers and you will find that p = 5.
But what if p isn't an integer? Say we have log7(29) = p; then, the only way to exactly determine p is log(29)/log(7).
log(base 3) 243
= log(base 3) 3^5
= 5*log(base 3) 3
The Four Basic Properties of Logs
logb (xy) = logb x + logb y.
logb (x/y) = logb x - logb y.
logb (xn) = n logb x.
logb x = loga x / loga b.