Question

My friends did it carefully(use as noun)

Answer 1

https://brainly.in/question/13001341

He did the sum carefully. (Use the noun form of carefully ...

I hope is helpful dear mark mi brilliant plz

Answer 2

Explanation:

Given :-

$\sf {25}^{n - 1} + 100 = {5}^{2n - 1}$

To Find :-

$\sf n = ?$

Solution :-

$\qquad\leadsto\quad\sf \pink{ {25}^{n - 1} + 100 = {5}^{2n - 1}}$

$\qquad\leadsto\quad\sf100 = {5}^{2n - 1} - {25}^{n - 1}$

$\qquad\leadsto\quad\sf {5}^{2n - 1} - {25}^{n - 1} = 100$

$\qquad\leadsto\quad\sf {5}^{2n} \times {5}^{ - 1} - {25}^{n} \times {25}^{ - 1} = 100$

$\qquad\leadsto\quad\sf({5}^{2} ) ^{n} \times \frac{1}{5} - {25}^{n} \times \frac{1}{25} = 100$

$\qquad\leadsto\quad\sf \dfrac{ {25}^{n} }{5} - \frac{ {25}^{n} }{25} = 100$

$\qquad\leadsto\quad\sf \dfrac{5 \times {25}^{n} - {25}^{n} }{25} = 100$

$\qquad\leadsto\quad\sf {25}^{n} (5 - 1) = 100 \times 25$

$\qquad\leadsto\quad\sf {25}^{n} \times 4 =2500$

$\qquad\leadsto\quad\sf {25}^{n} = \frac{2500}{4}$

$\qquad\leadsto\quad\sf{25}^{n} = 625$

$\qquad\leadsto\quad\sf{25}^{n} = {25}^{2}$

$\qquad\leadsto\quad\sf \pink{n = 2}$

$\therefore\:\underline{\textsf{Value of n is \textbf{2}}}.$