Question

2^X-7 * 5 ^X-4 EQUALS TO 1250

Answer 1

Answer :

Now,

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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