Question

Solve for x

Answer 1

\[\ln \sqrt[4]{x}=\sqrt{\ln x}\]

Answer 2

did u come upto this step using log properties ?
ln x = 4 root (ln x)

Answer 3

if yes, then put y=ln x
and square both sides

Answer 4

\( \ln \sqrt[n]x=(1/n)\ln x\)

Answer 5

That is the original problem

Answer 6

use this for left side and tell me what u get
\(\ln \sqrt[n]x=(1/n)\ln x\)

Answer 7

what do you mean use for that left side

Answer 8

that's a fourth root by the way

Answer 9

yeah, so n=4

Answer 10

oh I get what you mean. so 1/4(ln x)

Answer 11

yes.
now multiply 4 on both sides

Answer 12

then put ln x =y

Answer 13

so y=4sqrt(y) ?

Answer 14

yup, now square it

Answer 15

are the answers 1 and 10^16

Answer 16

ln y = 0
or ln y=16
its ln , not log.

y=1 is correct, but its not 10^16

Answer 17

right so e^16

Answer 18

yes

Answer 19

did u understand all steps ?

Answer 20

yes I did. thank you for your help

Answer 21

welcome ^_^