Question

(v) 2n-7 x 5n-4 = 1250​

Answer 1

Answer:

Given 2

n−1

×5

n−4

=1250

⟹

2

3

2

n−4

×5

n−4

=1250

⟹2

n−4

×5

n−4

=1250×2

3

⟹(2×5)

n−4

=(10)

4

⟹(10)

n−4

=(10)

4

when bases are equal then powers are equated.

Therefore, n−4=4⟹n=4+4=8