Question

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

Answer 1

Answer:

Step-by-step explanation:

25^x-1 = 5^(2x-1) - 100

⇒ 5^2x-2 = 5^(2x-1) - 100

⇒ 5^2x-2 - 5^2x-1 = -100

⇒ 5^2x [ 5^-2 - 5^-1] = - 100

⇒ 5^2x [ 1  -  1 ]  = - 100

            25    5

⇒ 5^2x [ 1 - 5]  = - 100

              25

⇒ 5^2x [ -4 ] = - 100

             25

⇒ 5^2x [-4] = -100 * 25

⇒ 5^2x = 100 * 25     [ - * - = +]

                 4 

⇒ 5^2x = 625

⇒ 5^2x  = 5^4 

so, ⇒  2x = 4

     ⇒  x = 2

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