Question

please solve this question complete​

Answer 1

Answer:

The Value of U is

$\frac{31}{32}$

Step-by-step explanation:

it is simple to solve

first square the equation

then this becomes

$7 \sqrt{7 \sqrt{7 \sqrt{7 \sqrt{7 } } } } =( { {7}^{u} })^{2}$

then take 7 to RHS and then then this equation becomes

$\sqrt{7 \sqrt{7 \sqrt{7 \sqrt{7 } } } } =( { {7}^{2u - 1} })$

again taking square and solving

we get final

${7}^{1} = {u}^{32u - 30}$

therefore

$u = \frac{31}{32}$