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Nataly [62]
3 years ago
13

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

Mathematics
1 answer:
Stells [14]3 years ago
6 0

Answer:   p = 5

<u>Step-by-step explanation:</u>

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

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