Math, asked by nilimakumari746, 5 hours ago

32. Solve for x: (25)^x-2=(125)^2-x

Answers

Answered by dassrijani1610
1

Answer:

 \: x = 2

Step-by-step explanation:

 {(25)}^{x - 2}  =  {(125)}^{2 - x}

 { ({(5)}^{2} )}^{x - 2}  =  { {((5)}^{3}) }^{2 - x}

 {(5) \: }^{2x - 4}  =   {(5) \: }^{6 - 3x}

since bases are same , can be eliminated

2x - 4 = 6 - 3x

3x + 2x = 6 + 4

5x = 10

 \: x = 2

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