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3 years ago

Can someone help me please ?

Mathematics

2 answers:

mafiozo [28]3 years ago

7 0

25^(n-3)=5^(n+8)
Remember: 25=5²
Therefore:
5^[(n-3)²]=5^(n+8)
5^(2n-6)=5^(n+8)
Then:
2n-6=n+8
2n-n=8+6
n=14

Answer: n=14

7nadin3 [17]3 years ago

6 0

25ⁿ ⁻ ³ = 5ⁿ ⁺ ⁸

Make both bases to be equal.

Recall 25 = 5²

(5²)⁽ⁿ ⁻ ³⁾ = 5ⁿ ⁺ ⁸

5²⁽ⁿ ⁻ ³⁾ = 5ⁿ ⁺ ⁸

2*(n - 3) = 2*n - 2*3 = 2n - 6

5²ⁿ ⁻ ⁶ = 5ⁿ ⁺ ⁸

Since the bases which is 5 are equal, that means the powers are the same.

2n - 6 = n + 8, take the n to the left side of the equation

2n - n = 8 + 6

n = 14

I hope this helps.

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