Question

Find x when 2^x-7 5^x-4 =1250

Answer 1

Please write question properly...

Which sign is between

$2 {}^{x - 7} \: \: and \: \: 5 {}^{x - 4}$

Thanks

Answer 2

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.