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

Find the value of p ,if 5^p-3 * 3^2p-8=225 - id533282253206345, anarosa331hotmailcom

Ответ:

wanderer3653

06.01.2022

p = 5

Step-by-step explanation:

$5^{p-3}\cdot3^{2p-8}=225\\\\5^{p-3}\cdot3^{2p-8}=15^2\\\\5^{p-3}\cdot3^{2p-8}=5^2\cdot 3^2\\\\5^{p-3}=5^2\quad and\quad 3^{2p-8}=3^2\\\\p-3=2\quad and\quad 2p-8=2\\p=5\qquad and \qquad 2p=10\rightarrow p=5$

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Ответ:

tashaunalewis4786

23.07.2021

Mathematics

I cant see all the question but this is how you find the derivative of your function using the product rule.

Here you use the extension of the product rule to 3 factors which we'll write as:-

f(x), g(x) and h(x):-

Derivative = f'(x) g(x) h(x) + f(x) g'(x) h(x) + f(x) g(x) h'(x)

(3x - 1)(x + 4)(2x - 1)

derivative = 3(x + 4)(2x - 1) + (3x + 1)(1)(2x - 1) + (3x - 1)(x + 4)(2)

= 3(x + 4)(2x - 1) + (3x + 1)(2x - 1) + 2(3x - 1)(x + 4)

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

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