If 2 n−7 × 5 n−4 = 1250, find the value on n. i want step by step explanation and also tell which lawa of exponent we have to use
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Answer:
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
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