Math, asked by tarunjain1640, 1 year ago

Find the value of x in 2's power x-7 ×5's power x-4 = 1250

Answers

Answered by jagdishchawla7pa9j62
4
The answer is 8 as explained in the pic.
Attachments:
Answered by Anonymous
1

Correct question:

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

Required answer:

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

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

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

ㅤ ㅤ

\longrightarrow\rm{x - 7 = 1}

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

\longrightarrow\rm{x = 7 + 1}

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

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

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