Question

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


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Answer 1

PLEASE REFER TO THE ATTACHMENT.........☆

Answer 2

$\Large{\underline{\underline{\bf{Solution:-}}}}$

$we \: have \: \\ \\→ {25}^{x - 1} = {5}^{2x - 1 } - 100 \\ \\→ { ({5}^{2}) }^{x - 1} = {5}^{2x - 1 } = 100 \\ \\ → {5}^{2x - 2} - {5}^{2x - 1} = - 100 \\ \\ → {5}^{2x - 2} - {5}^{2x - 2} \times {5}^{1} = - 100 \\ \\ → {5}^{2x - 2} (1 - 5) = - 100 \\ \\ →{5}^{2x - 2} \times - 4 = - 100 \\ \\→ {5}^{2x - 2} = 25 \\ \\ →{5}^{2x - 2} = {5}^{2} \\ \\ →2x - 2 = 2 \\ \\ →2x = 2 + 2 \\ \\ →2x = 4 \\ \\→ x = \frac{4}{2} \\ \\ →x = 2$

$\Large{\underline{\underline{\bf{Thanks}}}}$