2 power x minus 7 into 5 to the power x - 4 equal to 1250
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2^(x - 7) × 5^(x - 4) = 1250
=> 2^(x - 7) × 5^(x - 4) = 2 × 5 × 5 × 5 × 5
=> 2^(x - 7) × 5^(x - 4) = 2^1 × 5^4
=> 2^(x - 7) × 5^(x - 4) = 2^(8 - 7) × 5^( 8- 4)
Thus, comparing among the powers, we get
x = 8.
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