Question

what is value of log(e(e(e....)^1/2)^1/2)^1/2? Base of the log is e
(a)0(b)1/3(c)1/2(d)1

Answer 1

Answer:

Step-by-step explanation:

=1/2loge

=1/2

Answer 2

Step-by-step explanation:

$\sf \: log( \sqrt{e \sqrt{e \sqrt{e \sqrt{e \sqrt{e......} } } } } )$

take

$\sf \: y = \sqrt{e \sqrt{e \sqrt{e \sqrt{e \sqrt{e.....} } } } } \\ \\ </p><p>$

then

$\sf \: y = \sqrt{ey}</p><p> \\ </p><p> \sf \: {y}^{2} = e</p><p>$