Question

2
$2x - 7 \times 5x - 4 = 1250 find the value of x$
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Answer 1

▪Hope this is Alright .

$2x - 7(5x - 4) \: = 1250 \\ 2x - 35x + 28 = 1250 \\ - 33x = 1250 - 28 \\ - 33x = 1222 \\ x = 1222 \div 33 \\ x = 37.03$

Answer 2

Correct question:

$\longrightarrow\rm{2^{(x - 7)} \times 5^{(x - 4)} = 1250}$

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Required answer:

$\longrightarrow\rm{2^{(x - 7)} \times 5^{(x - 4)} = 1250}$

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$\longrightarrow\rm{1250 = 2 * 5 * 5 * 5 * 5}$

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$\longrightarrow\rm{2^{(x - 7)} \times 5^{(x - 4)} = 2^{1} \times 5^{4}}$

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$\longrightarrow\rm{x - 7 = 1}$

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Transposing 7 to the other the other side, we get:

$\longrightarrow\rm{x = 7 + 1}$

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${\longrightarrow{\boxed{\rm{x = 8}}}}$

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Therefore, 8 is the required value of x in the given expression.