Question

Find the value of 'p' ,if 5^p-3 * 3^2p-8=225

Answer 1

Answer: p = 5

Explanation:

`5^(p-3)\cdot3^(2p-8)=225\\\\5^(p-3)\cdot3^(2p-8)=15^2\\\\5^(p-3)\cdot3^(2p-8)=5^2\cdot 3^2\\\\5^(p-3)=5^2\quad and\quad 3^(2p-8)=3^2\\\\p-3=2\quad and\quad 2p-8=2\\p=5\qquad and \qquad 2p=10\rightarrow p=5`