Find the value of x, where 2^x-7 X 5^x -4 = 1250

1.	Find the value of x, where 2^x-7 X 5^x -4 = 1250
Answer» CORRECT question: $\longrightarrow\rm{2^{(x - 7)} \times 5^{(x - 4)} = 1250}$ ㅤ Required answer: $\longrightarrow\rm{2^{(x - 7)} \times 5^{(x - 4)} = 1250}$ ㅤ $\longrightarrow\rm{1250 = 2 * 5 * 5 * 5 * 5}$ ㅤ $\longrightarrow\rm{2^{(x - 7)} \times 5^{(x - 4)} = 2^{1} \times 5^{4}}$ ㅤ ㅤ $\longrightarrow\rm{x - 7 = 1}$ ㅤ Transposing 7 to the other the other SIDE, we GET: $\longrightarrow\rm{x = 7 + 1}$ ㅤ ${\longrightarrow{\boxed{\rm{x = 8}}}}$ ㅤ Therefore, 8 is the required value of x in the GIVEN expression.

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