Question

Find the value of x if a) 5 power 2x-1 -25 power x-1 = 2500

Answer 1

5^(2x -1) -25^( x -1) = 2500

5^(2x -1) -5^2(x -1) = 2500

5^(2x -1) -5^(2x -2) = 2500

5^(2x -1) { 1 - 1/5 } = 2500

5^(2x -1) × 4/5 = 2500

5^(2x -1) = 25× 25 × 5 = 5^(2+2+1)

5^(2x -1) = 5^(5)

2x -1 = 5

x = 3

Answer 2

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