Question

If 2 n – 7 x 5n – 4 = 1250, find the value of n.

Answer 1

Answer:

n= -38

Step-by-step explanation:

2n - 7 × 5n -4 = 1250

2n - 35n - 4 = 1250

-33n = 1250 + 4

-33n = 1254

n = 1254÷ -33

n= -38

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Answer 2

Given 2n-7 * 5n-4  = 1250

Here 1250 = 2 x 5 x 5 x 5 x 5 = 2 x 54

Now 2n-7 × 5n-4 × 23 = 2 × 54 × 23      [ multiply 23  on both sides ]

⇒ 2n - 7 + 3 × 5n-4  = 24 × 54

⇒ 2n - 4 × 5n-4  = 24 × 54

⇒ 10n - 4  = 104

bases are equal powers should be equated

⇒ n - 4 = 4

∴n = 8