Question

find the X value if two 2 whole power x minus 7 x 5 whole power x minus 4 equal to 1250​

Answer 1

$Given \: 2^{(x-7)} \times 5^{(x+1)} = 1250$

__________________

2 | 1250

_________

5| 625

_________

5| 125

_________

5| 25

_________

*** 5

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

/* Compare bothsides exponents of 2 , we get */

$\implies x - 7 = 1$

$\implies x = 1 + 7$

$\implies x = 8$

Therefore.,

$\red{ Value \:of \: x } \green { = 8 }$

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Answer 2

Answer:

Step-by-step explanation:

2 | 1250

5| 625

5| 125

5| 25

5 l5

    1

___________________

it implies 2^{(x-7)} \times 5^{(x+1)} = 2^{1} \times 5^{4}

/* Compare bothsides exponents of 2 , we get */

x - 7 = 1

x = 1 + 7

x = 8

Therefore.,

\red{ Value \:of \: x } \green { = 8 }