Question

please solve it.
it is urgent​

Answer 1

Answer:

25√5

Step-by-step explanation:

hope this helps.............

Answer 2

Answer:

Firstly with the help of given expression we have to find the value of x as :-)

${4}^{x} - {4}^{x - 1} = 24 \\ \\ {4}^{x} - {4}^{x}. {4}^{ - 1} = 24 \\ \\ {4}^{x} - \frac{ {4}^{x} }{4} = 24 \\ \\ {4}^{x} (1 - \frac{1}{4} ) = 24 \\ \\ {4}^{x} ( \frac{3}{4} ) = 24 \\ \\ {4}^{x} = 24 \times \frac{4}{3} \\ \\ {4}^{x } = 8 \times 4 \\ \\ {4}^{x} = 32 \\ \\ {({2}^{2})}^{x} = {2}^{5} \\ \\ {2}^{2x } = {2}^{5}$

on equating powers of both side we get

$2x = 5 \\ \\ x = \frac{5}{2}$

Now,

${2x}^{x} = ({ {2 \times \frac{5}{2} }) }^{ \frac{5}{2} } \\ \\ = {5}^{ \frac{5}{2} } = {5}^{ {5}^{ (\frac{1}{2}) } } \\ \\ = {3125}^{ \frac{1}{2} } = \sqrt{3125} \\ \\ = \sqrt{5 \times 5 \times 5 \times 5 \times 5} \\ \\ = 25 \sqrt{5}$

So,

the required value of expression will be

$25 \sqrt{5}$