To determine To calculate: The solution of the given equation 5 − 2 x = 1 25 . Explanation Given: The equation, 5 − 2 x = 1 25 . Formula used: Let a is a positive real number If a y = a x , a ≠ 1 . Then, y = x Explanation: Multiply both sides of the given equation by 25. 5 − 2 x × 25 = 1 25 × 25 5 − 2 x × 5 2 = 1 Now, if the bases are same, then the powers are added. 5 2 − 2 x = 1 5 2 ( 1 − x ) = 1 Any number raised to the power zero is 1. So, 1 can also be written as 5 0 . Thus, the equation becomes 5 2 ( 1 − x ) = 5 0

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Chapter 4.4, Problem 53E

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To calculate: The solution of the given equation 5−2x=125.

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Chapter 4.4, Problem 52E

Chapter 4.4, Problem 54E

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