Question

Solve for X plz

Answer 1

\[x ^{\sqrt{x}}=\sqrt{x ^{x}}\]

Answer 2

x= 1 and x = 4

Answer 3

How i know the answer but how?

Answer 4

use logs

Answer 5

You could start by taking the natural log of both sides to make it easier.

Answer 6

Ahh i dont know much about logs

Answer 7

Can u show it plzz?

Answer 8

remember that \(ln(a^b)= b~ln(a)\)

Answer 9

yea

Answer 10

and also note: \(\large \sqrt{a} = a^\frac{1}{2}\)

Answer 11

Then?

Answer 12

can u show it step By step? PLzz

Answer 13

I know Identities. just show how u solved it

Answer 14

\(\large ln(x^{\sqrt{x}})= ln(\sqrt{x^x})\)

Answer 15

you know the rules. apply them. I don't want to simply give you the answer, I will help you step-by-step. But I also want you to try it first :)
This is a good problem.

Answer 16

Man i am not able to do it plzz help i beg you?
I have forgot logs i studied them a year before

Answer 17

Yes! You can do it! I am confident that you can do this! Trust me. I wouldn't be here if I didn't think you could do it.

Answer 18

I actually i studied logs just for fun i am in 9 thgrade and will learn logs in 12

Answer 19

i juyst remember identities nothing else

Answer 20

\(\sqrt{x}~ln(x) = ln(x^{x+\frac{1}{2}})\) does that make sense?

Answer 21

Yea

Answer 22

I added the \(x+\frac{1}{2}\) to make it easier. Since you can simply add exponents

Answer 23

Ohk.

Answer 24

Now, you try it from here. Add the \(x+\frac{1}{2}\) and move the exponent to the front of the ln like I did for the left side.
REMEMBER: \(ln(a^n) = n~ln(a)\)

Answer 25

ACtually the problem is I am just able to do it till here after this i am stuck.
I asked to solve it cause i thought i did this Wrong.

Answer 26

U dere?

Answer 27

Yes. I'm here.