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Question
Solve for x : 25x-1 = 4 23x + 1
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Solution
25x-1 = 4 x 23x + 1
⇒ 25x-1 = 22 x 23x + 1
⇒ 25x-1 = 22 + 3x + 1
⇒ 25x-1 = 23x + 3
We know that if bases are equal, the powers are equal
⇒ 5x - 1 = 3x + 3
⇒ 5x - 3x = 3 + 1
⇒ 2x = 4
⇒ x = `4/2`
⇒ x = 2.
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