Question

Solve for X:

3e^(4x) = 6

Answer 1

How far have you gotten on this problem before getting stuck?

Answer 2

Ln e^(4x^3) = Ln 6

Answer 3

ln(2)/4

Answer 4

4x^3 = Ln 6 dont know if its right

Answer 5

thats right so far, keep going :)

Answer 6

do i divide 4 and then cube

Answer 7

I would recommend starting by dividing both sides by 3. :)

Answer 8

divide by four is correct :)

Answer 9

that 3 is a power, it looks like this:
\[4x^{3} = \ln(6) \Rightarrow x^{3} = \frac{\ln(6)}{4}\]

Answer 10

so now we gotta get rid of that 3rd power above the x, so im going to take the cube root of both sides:
\[x^{3} = \frac{\ln(6)}{4} \Rightarrow x = \sqrt[3]{\frac{\ln(6)}{4}}\]
that would be your final answer, i dont have a calculator though, so i cant give you the exact number.

Answer 11

that gives me 0.77 which is wrong though

Answer 12

i think math teacher is right i get .173

Answer 13

ti 89 type in press solve

Answer 14

oh oh, i didnt start from the original problem, i started from the line 4x^3 = ln6. i didnt see the 3 in front of the e, sry >.<

Answer 15

thats ok thanks!

Answer 16

i have a ti 89 and i dont know what you mean MechE_MST