Math, asked by muskansethi, 1 year ago

(question is given above in the picture please solve the problem)

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Answered by rakeshmohata

Hope u like my process
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${(5)}^{2x - 1} - {(25)}^{x - 1} = 2500 \\ or. \: {(5)}^{2x - 1} - { ({5}^{2} )}^{x - 1} = {25}^{2} \times 4 \\ or. \: 5 \times {5}^{2x - 2} - {5}^{2x - 2} = {25}^{2} \times 4 \\ or. \: {5}^{2x - 2} ( 5 - 1 ) = {( {5}^{2} )}^{2} \times 4 \\ or. \: {5}^{2x - 2} \times 4 = {5}^{4} \times 4 \\ \\ so.. \\ 2x - 2 = 4 \\ or. \: 2x = 4 + 2 \\ or. \: x = \frac{6}{2} = 3$
Hope this is ur required answer
Proud to help you

muskansethi: yeah

rakeshmohata: any more doubts...?.. I can't message u in inbox..

rakeshmohata: or else i would hv answered others there... u won't hv to ask it.. as a question thn!!

muskansethi: no no i don't have any doubt

rakeshmohata: doubt means any questions left to ask?

muskansethi: yeah i have posted

rakeshmohata: I did it before also..!! check itll

rakeshmohata: u reposted it!!

muskansethi: yo haven't answered it before

muskansethi: by mistake

Answered by Priya999

5^(2x -1) -25^( x -1) = 2500

5^(2x -1) -5^2(x -1) = 2500

5^(2x -1) -5^(2x -2) = 2500

5^(2x -1) { 1 - 1/5 } = 2500

5^(2x -1) × 4/5 = 2500

5^(2x -1) = 25× 25 × 5 = 5^(2+2+1)

5^(2x -1) = 5^(5)

2x -1 = 5

x = 3

PLEASE MARK BRAINLIEST

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