Question

25^x-1 =5^2x-1 - 100

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Answer 1

Answer:

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Answer 2

$\large { \underline{ \bf \red{Question:- }}}$

• 25^x-1 =5^2x-1 - 100

$\large { \underline{ \bf \purple{Solution:- }}}$

$</p><p></p><p>\begin{gathered}25^{x-1} =5^{2x-1}-100\\ \\ = > \ (5^2)^{x-1}=5^{2x-1}\ -2^2*5^2\\\\= > \ 5^{2x-2}-5^{2x-1}\ = - 2^2*5^2\\\\= > \ 5^{2x-2}*[ 1-5^1 ]=-2^2*5^2\\ \\ = > \ 5^{2x-2}*-4=-4*5^2\\\\</p><p>= > \ 2x-2=2\\\\x=2 \\ \end{gathered}25x−1=52x−1−100 \\ </p><p>$

$\large { \underline{ \bf \pink{Therefore:- }}}$

$x = 2$