Question

find p if 5^p-3 × 3^2p-8 = 225​

Answer 1

Answer:

p=5

Step-by-step explanation:

5^(p-3) * 3^(2p-8) =225

=> convert 225 into factors of 3 and 5

=> 225 = 3 * 3 * 5 * 5

=> 5^(p-3) * 3^(2p-8) = 5^2 * 3^2

=> equate

=> p-3= 2 and 2p-8 = 2

=> now solve for p

=> p=5