Question

no spam orelse i will report
explain me both the answer

Answer 1

⠀⠀⠀⠀⠀⠀⠀${(125)}^{y - 4} = {(25)}^{y - 2} \\ \\ {5}^{3(y - 4)} = {5}^{2(y - 2)} \\ \\ 3(y - 4) = 2(y - 2) \\ \\ 3y - 12 = 2y - 4 \\ \\ \ \boxed { \rm \: y = 8} \\ \\ ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬\\ \\ {(27)}^{y + 1} = {(9)}^{y + 3} \\ \\ {3}^{3(y + 1)} = {3}^{2(y + 3)} \\ \\ 3(y + 1) = 2(y + 3) \\ \\ 3y + 3 = 2y + 6 \\ \\ \boxed{ \rm y = 3} \\ \\ ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬$

Answer 2

$question 1 \: \\ {125}^{y - 4} = {25}^{y - 2} \\ {5}^{3(y - 4)} = {5}^{2(y - 2)} \\ comparing \: both \: sides \\ 3y - 12 = 2y - 4 \\ y = 8$

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$ques \: 2 \\ {3}^{3(y + 1)} = {3}^{2(y + 3)} \\ comparing \: both \: sides \\ 3y + 3 = 2y + 6 \\ y = 3$

hope it helps.

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