Given that y =2logp + 4logt express y in terms of p and q

Answer 1

If y = 2log(p) + 4log(t), we can rewrite this expression using the rules of logarithms to simplify it in terms of p and t.

Recall that log(a) + log(b) = log(ab) and k*log(c) = log(c^k).

Therefore, y = 2log(p) + 4log(t)
= log(p^2) + log(t^4)
= log(p^2 * t^4).

Therefore, y = log(p^2 * t^4).

So, y in terms of p and t is: y = log(p^2 * t^4).