Question

e^x4=1000

Answer 1

to cancel out e you have to take the ln to both sides\[\ln( e ^{(4*x)})=ln(1000)\]
\[{(4*x)}=ln(1000)\]
\[{(x)}=(ln(1000))/4\]

Answer 2

I thought I had to 4th root each side because I am left with x^4=ln1000?

Answer 3

Am I wrong?

Answer 4

its xto the 4th not 4*x?

Answer 5

What is the original equation?
a) \(e^{x^4} = 1000\)
b) \(e^{x4} = 1000\)
c) \(e{x^4} = 1000\)

Answer 6

a

Answer 7

Ok, so start by taking the natural log of both sides.

Answer 8

You can't take the 4th root yet because you'd have \[(e^{x^4})^{\frac{1}{4}} = e^{\frac{x^4}{4}} \]

Answer 9

\[e ^{x ^{4}} = 1000\]
so
\[ln(e ^{x ^{4})} = ln(1000)\]
\[{x ^{4}} = ln(1000)\]
\[x= \sqrt[4]{\ln(1000)}\]
or you can say
\[x= (\ln(1000))^{1/4}\]

Answer 10

It wouldn't get rid of the power of 4 on the x.

Answer 11

Is there an answer to this or is that it?? I am so confused?

Answer 12

Romero is correct. The answer is the \[x=\sqrt[4]{ln\ 1000}\]

Answer 13

do I type that into my caculator to get an answer??

Answer 14

sure, or you can leave it that way.

Answer 15

What would the answer be if I typed it into my caculator. I am new to this scientific....is it 10.5130????

Answer 16

I have 1.6211

Answer 17

err 1.62119 rather.

Answer 18

Thank you.. with that answer I was able to figure out which buttons to press on this caculator... its going to be the death of me...!!