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Question
Find the value of x in the following:
`2^(x-7)xx5^(x-4)=1250`
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Solution
Given `2^(x-7)xx5^(x-4)=1250`
`2^(x-7)xx5^(x-4)=2^1xx625`
`2^(x-7)xx5^(x-4)=2^1xx5^4`
On equating the exponents we get,
x - 7 = 1
x = 7 + 1
x = 8
And,
x - 4 = 4
x = 4 + 4
x = 8
Hence, the value of x = 8.
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